/export/starexec/sandbox2/solver/bin/starexec_run_rcdcRelativeAlsoLower /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


KILLED
proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 260 ms]
(4) CpxRelTRS
(5) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(6) TRS for Loop Detection
(7) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(8) CpxRelTRS
    (9) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (10) typed CpxTrs
    (11) OrderProof [LOWER BOUND(ID), 0 ms]
    (12) typed CpxTrs
    (13) RewriteLemmaProof [LOWER BOUND(ID), 3627 ms]
    (14) BOUNDS(1, INF)
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 0 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) NarrowingProof [BOTH BOUNDS(ID, ID), 4918 ms]
        (26) CpxTypedWeightedCompleteTrs
        (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 5 ms]
        (28) CpxRNTS
        (29) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (30) CpxRNTS
    (31) CompletionProof [UPPER BOUND(ID), 0 ms]
    (32) CpxTypedWeightedCompleteTrs
        (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(36) CdtProblem
    (37) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (38) CdtProblem
    (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (44) CdtProblem
    (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 37 ms]
    (46) CdtProblem
    (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms]
    (58) CdtProblem
    (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms]
    (62) CdtProblem
    (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
    (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (66) CdtProblem
    (67) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (68) CdtProblem
    (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (70) CdtProblem
    (71) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (72) CdtProblem
    (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 17 ms]
    (74) CdtProblem
    (75) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 36 ms]
    (78) CdtProblem
    (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (80) CdtProblem
    (81) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (82) CdtProblem
    (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (84) CdtProblem
    (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (86) CdtProblem
    (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (88) CdtProblem
    (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (90) CdtProblem
    (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (92) CdtProblem
    (93) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (94) CdtProblem
    (95) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (98) CdtProblem
    (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (100) CdtProblem
    (101) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (102) CdtProblem
    (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (104) CdtProblem
    (105) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (106) CdtProblem
    (107) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (108) CdtProblem
    (109) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (110) CdtProblem
    (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (112) CdtProblem
    (113) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (114) CdtProblem
    (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15 ms]
    (116) CdtProblem
    (117) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (118) CdtProblem
    (119) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (120) CdtProblem
    (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (122) CdtProblem
    (123) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (124) CdtProblem
    (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 47 ms]
    (126) CdtProblem
    (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 27 ms]
    (128) CdtProblem
    (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms]
    (130) CdtProblem
    (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (132) CdtProblem
    (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (134) CdtProblem
    (135) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 8 ms]
    (136) CdtProblem
    (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8 ms]
    (138) CdtProblem
    (139) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (140) CdtProblem
    (141) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (142) CdtProblem
    (143) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 25 ms]
    (144) CdtProblem
    (145) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 9 ms]
    (146) CdtProblem
    (147) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 280 ms]
    (148) CdtProblem
    (149) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 37 ms]
    (150) CdtProblem
    (151) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 305 ms]
    (152) CdtProblem
    (153) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (154) CdtProblem
    (155) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 244 ms]
    (156) CdtProblem
    (157) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 29 ms]
    (158) CdtProblem
    (159) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 315 ms]
    (160) CdtProblem
    (161) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 51 ms]
    (162) CdtProblem
    (163) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 313 ms]
    (164) CdtProblem
    (165) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 81 ms]
    (166) CdtProblem
    (167) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 743 ms]
    (168) CdtProblem
    (169) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 53 ms]
    (170) CdtProblem
    (171) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 630 ms]
    (172) CdtProblem
    (173) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 67 ms]
    (174) CdtProblem
    (175) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 511 ms]
    (176) CdtProblem
    (177) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 97 ms]
    (178) CdtProblem
    (179) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 529 ms]
    (180) CdtProblem
    (181) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 72 ms]
    (182) CdtProblem
    (183) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 559 ms]
    (184) CdtProblem
    (185) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 136 ms]
    (186) CdtProblem
    (187) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 1200 ms]
    (188) CdtProblem
    (189) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 117 ms]
    (190) CdtProblem


----------------------------------------

(0)
Obligation:
The Derivational Complexity (innermost) of the given DCpxTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(filter(cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M)))
   active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   active(sieve(cons(0, Y))) -> mark(cons(0, sieve(Y)))
   active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   active(nats(N)) -> mark(cons(N, nats(s(N))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(sieve(X)) -> active(sieve(mark(X)))
   mark(nats(X)) -> active(nats(mark(X)))
   mark(zprimes) -> active(zprimes)
   filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
   filter(active(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, active(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   sieve(mark(X)) -> sieve(X)
   sieve(active(X)) -> sieve(X)
   nats(mark(X)) -> nats(X)
   nats(active(X)) -> nats(X)

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(1) DerivationalComplexityToRuntimeComplexityProof (BOTH BOUNDS(ID, ID))
The following rules have been added to S to convert the given derivational complexity problem to a runtime complexity problem:

   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes


----------------------------------------

(2)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(filter(cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M)))
   active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   active(sieve(cons(0, Y))) -> mark(cons(0, sieve(Y)))
   active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   active(nats(N)) -> mark(cons(N, nats(s(N))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(sieve(X)) -> active(sieve(mark(X)))
   mark(nats(X)) -> active(nats(mark(X)))
   mark(zprimes) -> active(zprimes)
   filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
   filter(active(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, active(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   sieve(mark(X)) -> sieve(X)
   sieve(active(X)) -> sieve(X)
   nats(mark(X)) -> nats(X)
   nats(active(X)) -> nats(X)

The (relative) TRS S consists of the following rules:

   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes

Rewrite Strategy: INNERMOST
----------------------------------------

(3) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID))
proved innermost termination of relative rules
----------------------------------------

(4)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(filter(cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M)))
   active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   active(sieve(cons(0, Y))) -> mark(cons(0, sieve(Y)))
   active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   active(nats(N)) -> mark(cons(N, nats(s(N))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(sieve(X)) -> active(sieve(mark(X)))
   mark(nats(X)) -> active(nats(mark(X)))
   mark(zprimes) -> active(zprimes)
   filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
   filter(active(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, active(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   sieve(mark(X)) -> sieve(X)
   sieve(active(X)) -> sieve(X)
   nats(mark(X)) -> nats(X)
   nats(active(X)) -> nats(X)

The (relative) TRS S consists of the following rules:

   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes

Rewrite Strategy: INNERMOST
----------------------------------------

(5) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
Transformed a relative TRS into a decreasing-loop problem.
----------------------------------------

(6)
Obligation:
Analyzing the following TRS for decreasing loops:

The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(filter(cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M)))
   active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   active(sieve(cons(0, Y))) -> mark(cons(0, sieve(Y)))
   active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   active(nats(N)) -> mark(cons(N, nats(s(N))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(sieve(X)) -> active(sieve(mark(X)))
   mark(nats(X)) -> active(nats(mark(X)))
   mark(zprimes) -> active(zprimes)
   filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
   filter(active(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, active(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   sieve(mark(X)) -> sieve(X)
   sieve(active(X)) -> sieve(X)
   nats(mark(X)) -> nats(X)
   nats(active(X)) -> nats(X)

The (relative) TRS S consists of the following rules:

   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes

Rewrite Strategy: INNERMOST
----------------------------------------

(7) RenamingProof (BOTH BOUNDS(ID, ID))
Renamed function symbols to avoid clashes with predefined symbol.
----------------------------------------

(8)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(filter(cons(X, Y), 0', M)) -> mark(cons(0', filter(Y, M, M)))
   active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   active(sieve(cons(0', Y))) -> mark(cons(0', sieve(Y)))
   active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   active(nats(N)) -> mark(cons(N, nats(s(N))))
   active(zprimes) -> mark(sieve(nats(s(s(0')))))
   mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0') -> active(0')
   mark(s(X)) -> active(s(mark(X)))
   mark(sieve(X)) -> active(sieve(mark(X)))
   mark(nats(X)) -> active(nats(mark(X)))
   mark(zprimes) -> active(zprimes)
   filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
   filter(active(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, active(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   sieve(mark(X)) -> sieve(X)
   sieve(active(X)) -> sieve(X)
   nats(mark(X)) -> nats(X)
   nats(active(X)) -> nats(X)

The (relative) TRS S consists of the following rules:

   encArg(0') -> 0'
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0'
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes

Rewrite Strategy: INNERMOST
----------------------------------------

(9) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(10)
Obligation:
Innermost TRS:
Rules:
active(filter(cons(X, Y), 0', M)) -> mark(cons(0', filter(Y, M, M)))
active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
active(sieve(cons(0', Y))) -> mark(cons(0', sieve(Y)))
active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
active(nats(N)) -> mark(cons(N, nats(s(N))))
active(zprimes) -> mark(sieve(nats(s(s(0')))))
mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
mark(0') -> active(0')
mark(s(X)) -> active(s(mark(X)))
mark(sieve(X)) -> active(sieve(mark(X)))
mark(nats(X)) -> active(nats(mark(X)))
mark(zprimes) -> active(zprimes)
filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
filter(active(X1), X2, X3) -> filter(X1, X2, X3)
filter(X1, active(X2), X3) -> filter(X1, X2, X3)
filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
cons(mark(X1), X2) -> cons(X1, X2)
cons(X1, mark(X2)) -> cons(X1, X2)
cons(active(X1), X2) -> cons(X1, X2)
cons(X1, active(X2)) -> cons(X1, X2)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
sieve(mark(X)) -> sieve(X)
sieve(active(X)) -> sieve(X)
nats(mark(X)) -> nats(X)
nats(active(X)) -> nats(X)
encArg(0') -> 0'
encArg(zprimes) -> zprimes
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
encArg(cons_nats(x_1)) -> nats(encArg(x_1))
encode_active(x_1) -> active(encArg(x_1))
encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_0 -> 0'
encode_mark(x_1) -> mark(encArg(x_1))
encode_s(x_1) -> s(encArg(x_1))
encode_sieve(x_1) -> sieve(encArg(x_1))
encode_nats(x_1) -> nats(encArg(x_1))
encode_zprimes -> zprimes

Types:
active :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
filter :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
0' :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
mark :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
s :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
sieve :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
nats :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
zprimes :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encArg :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_active :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_mark :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_filter :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_cons :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_s :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_sieve :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_nats :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_active :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_filter :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_cons :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_0 :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_mark :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_s :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_sieve :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_nats :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_zprimes :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
hole_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats1_4 :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4 :: Nat -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats

----------------------------------------

(11) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
active, mark, cons, filter, sieve, s, nats, encArg

They will be analysed ascendingly in the following order:
active = mark
cons < active
filter < active
sieve < active
s < active
nats < active
active < encArg
cons < mark
filter < mark
sieve < mark
s < mark
nats < mark
mark < encArg
cons < encArg
filter < encArg
sieve < encArg
s < encArg
nats < encArg

----------------------------------------

(12)
Obligation:
Innermost TRS:
Rules:
active(filter(cons(X, Y), 0', M)) -> mark(cons(0', filter(Y, M, M)))
active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
active(sieve(cons(0', Y))) -> mark(cons(0', sieve(Y)))
active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
active(nats(N)) -> mark(cons(N, nats(s(N))))
active(zprimes) -> mark(sieve(nats(s(s(0')))))
mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
mark(0') -> active(0')
mark(s(X)) -> active(s(mark(X)))
mark(sieve(X)) -> active(sieve(mark(X)))
mark(nats(X)) -> active(nats(mark(X)))
mark(zprimes) -> active(zprimes)
filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
filter(active(X1), X2, X3) -> filter(X1, X2, X3)
filter(X1, active(X2), X3) -> filter(X1, X2, X3)
filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
cons(mark(X1), X2) -> cons(X1, X2)
cons(X1, mark(X2)) -> cons(X1, X2)
cons(active(X1), X2) -> cons(X1, X2)
cons(X1, active(X2)) -> cons(X1, X2)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
sieve(mark(X)) -> sieve(X)
sieve(active(X)) -> sieve(X)
nats(mark(X)) -> nats(X)
nats(active(X)) -> nats(X)
encArg(0') -> 0'
encArg(zprimes) -> zprimes
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
encArg(cons_nats(x_1)) -> nats(encArg(x_1))
encode_active(x_1) -> active(encArg(x_1))
encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
encode_0 -> 0'
encode_mark(x_1) -> mark(encArg(x_1))
encode_s(x_1) -> s(encArg(x_1))
encode_sieve(x_1) -> sieve(encArg(x_1))
encode_nats(x_1) -> nats(encArg(x_1))
encode_zprimes -> zprimes

Types:
active :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
filter :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
0' :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
mark :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
s :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
sieve :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
nats :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
zprimes :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encArg :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_active :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_mark :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_filter :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_cons :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_s :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_sieve :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_nats :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_active :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_filter :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_cons :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_0 :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_mark :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_s :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_sieve :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_nats :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_zprimes :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
hole_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats1_4 :: 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4 :: Nat -> 0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats


Generator Equations:
gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(0) <=> 0'
gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(+(x, 1)) <=> cons_active(gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(x))


The following defined symbols remain to be analysed:
cons, active, mark, filter, sieve, s, nats, encArg

They will be analysed ascendingly in the following order:
active = mark
cons < active
filter < active
sieve < active
s < active
nats < active
active < encArg
cons < mark
filter < mark
sieve < mark
s < mark
nats < mark
mark < encArg
cons < encArg
filter < encArg
sieve < encArg
s < encArg
nats < encArg

----------------------------------------

(13) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(+(1, n440_4))) -> *3_4, rt in Omega(0)

Induction Base:
encArg(gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(+(1, 0)))

Induction Step:
encArg(gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(+(1, +(n440_4, 1)))) ->_R^Omega(0)
active(encArg(gen_0':zprimes:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats2_4(+(1, n440_4)))) ->_IH
active(*3_4)

We have rt in Omega(1) and sz in O(n). Thus, we have irc_R in Omega(n^0).
----------------------------------------

(14)
BOUNDS(1, INF)

----------------------------------------

(15) RelTrsToTrsProof (UPPER BOUND(ID))
transformed relative TRS to TRS
----------------------------------------

(16)
Obligation:
The Runtime Complexity (innermost) of the given CpxTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(filter(cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M)))
   active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   active(sieve(cons(0, Y))) -> mark(cons(0, sieve(Y)))
   active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   active(nats(N)) -> mark(cons(N, nats(s(N))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(cons(X1, X2)) -> active(cons(mark(X1), X2))
   mark(0) -> active(0)
   mark(s(X)) -> active(s(mark(X)))
   mark(sieve(X)) -> active(sieve(mark(X)))
   mark(nats(X)) -> active(nats(mark(X)))
   mark(zprimes) -> active(zprimes)
   filter(mark(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, mark(X3)) -> filter(X1, X2, X3)
   filter(active(X1), X2, X3) -> filter(X1, X2, X3)
   filter(X1, active(X2), X3) -> filter(X1, X2, X3)
   filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
   cons(mark(X1), X2) -> cons(X1, X2)
   cons(X1, mark(X2)) -> cons(X1, X2)
   cons(active(X1), X2) -> cons(X1, X2)
   cons(X1, active(X2)) -> cons(X1, X2)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   sieve(mark(X)) -> sieve(X)
   sieve(active(X)) -> sieve(X)
   nats(mark(X)) -> nats(X)
   nats(active(X)) -> nats(X)
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes

S is empty.
Rewrite Strategy: INNERMOST
----------------------------------------

(17) NonCtorToCtorProof (UPPER BOUND(ID))
transformed non-ctor to ctor-system
----------------------------------------

(18)
Obligation:
The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(0) -> active(0)
   mark(zprimes) -> active(zprimes)
   filter(X1, c_active(X2), X3) -> filter(X1, X2, X3)
   filter(c_mark(X1), X2, X3) -> filter(X1, X2, X3)
   sieve(c_mark(X)) -> sieve(X)
   mark(c_s(X)) -> active(s(mark(X)))
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, sieve(Y)))
   cons(c_mark(X1), X2) -> cons(X1, X2)
   s(c_active(X)) -> s(X)
   active(c_nats(N)) -> mark(cons(N, nats(s(N))))
   sieve(c_active(X)) -> sieve(X)
   nats(c_active(X)) -> nats(X)
   cons(X1, c_active(X2)) -> cons(X1, X2)
   cons(X1, c_mark(X2)) -> cons(X1, X2)
   filter(X1, c_mark(X2), X3) -> filter(X1, X2, X3)
   active(c_sieve(c_cons(c_s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N))))
   filter(c_active(X1), X2, X3) -> filter(X1, X2, X3)
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M)))
   s(c_mark(X)) -> s(X)
   mark(c_nats(X)) -> active(nats(mark(X)))
   mark(c_filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3)))
   mark(c_sieve(X)) -> active(sieve(mark(X)))
   filter(X1, X2, c_active(X3)) -> filter(X1, X2, X3)
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, filter(Y, N, M)))
   nats(c_mark(X)) -> nats(X)
   cons(c_active(X1), X2) -> cons(X1, X2)
   filter(X1, X2, c_mark(X3)) -> filter(X1, X2, X3)
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2))

The (relative) TRS S consists of the following rules:

   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1))
   encArg(cons_nats(x_1)) -> nats(encArg(x_1))
   encode_active(x_1) -> active(encArg(x_1))
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_s(x_1) -> s(encArg(x_1))
   encode_sieve(x_1) -> sieve(encArg(x_1))
   encode_nats(x_1) -> nats(encArg(x_1))
   encode_zprimes -> zprimes
   s(x0) -> c_s(x0)
   nats(x0) -> c_nats(x0)
   active(x0) -> c_active(x0)
   filter(x0, x1, x2) -> c_filter(x0, x1, x2)
   cons(x0, x1) -> c_cons(x0, x1)
   sieve(x0) -> c_sieve(x0)
   mark(x0) -> c_mark(x0)

Rewrite Strategy: INNERMOST
----------------------------------------

(19) RelTrsToWeightedTrsProof (BOTH BOUNDS(ID, ID))
Transformed relative TRS to weighted TRS
----------------------------------------

(20)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   active(zprimes) -> mark(sieve(nats(s(s(0))))) [1]
   mark(0) -> active(0) [1]
   mark(zprimes) -> active(zprimes) [1]
   filter(X1, c_active(X2), X3) -> filter(X1, X2, X3) [1]
   filter(c_mark(X1), X2, X3) -> filter(X1, X2, X3) [1]
   sieve(c_mark(X)) -> sieve(X) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, sieve(Y))) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   s(c_active(X)) -> s(X) [1]
   active(c_nats(N)) -> mark(cons(N, nats(s(N)))) [1]
   sieve(c_active(X)) -> sieve(X) [1]
   nats(c_active(X)) -> nats(X) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   filter(X1, c_mark(X2), X3) -> filter(X1, X2, X3) [1]
   active(c_sieve(c_cons(c_s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N)))) [1]
   filter(c_active(X1), X2, X3) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M))) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_nats(X)) -> active(nats(mark(X))) [1]
   mark(c_filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) [1]
   mark(c_sieve(X)) -> active(sieve(mark(X))) [1]
   filter(X1, X2, c_active(X3)) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, filter(Y, N, M))) [1]
   nats(c_mark(X)) -> nats(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   filter(X1, X2, c_mark(X3)) -> filter(X1, X2, X3) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   encArg(0) -> 0 [0]
   encArg(zprimes) -> zprimes [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1)) [0]
   encArg(cons_nats(x_1)) -> nats(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_sieve(x_1) -> sieve(encArg(x_1)) [0]
   encode_nats(x_1) -> nats(encArg(x_1)) [0]
   encode_zprimes -> zprimes [0]
   s(x0) -> c_s(x0) [0]
   nats(x0) -> c_nats(x0) [0]
   active(x0) -> c_active(x0) [0]
   filter(x0, x1, x2) -> c_filter(x0, x1, x2) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   sieve(x0) -> c_sieve(x0) [0]
   mark(x0) -> c_mark(x0) [0]

Rewrite Strategy: INNERMOST
----------------------------------------

(21) TypeInferenceProof (BOTH BOUNDS(ID, ID))
Infered types.
----------------------------------------

(22)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zprimes) -> mark(sieve(nats(s(s(0))))) [1]
   mark(0) -> active(0) [1]
   mark(zprimes) -> active(zprimes) [1]
   filter(X1, c_active(X2), X3) -> filter(X1, X2, X3) [1]
   filter(c_mark(X1), X2, X3) -> filter(X1, X2, X3) [1]
   sieve(c_mark(X)) -> sieve(X) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, sieve(Y))) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   s(c_active(X)) -> s(X) [1]
   active(c_nats(N)) -> mark(cons(N, nats(s(N)))) [1]
   sieve(c_active(X)) -> sieve(X) [1]
   nats(c_active(X)) -> nats(X) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   filter(X1, c_mark(X2), X3) -> filter(X1, X2, X3) [1]
   active(c_sieve(c_cons(c_s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N)))) [1]
   filter(c_active(X1), X2, X3) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M))) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_nats(X)) -> active(nats(mark(X))) [1]
   mark(c_filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) [1]
   mark(c_sieve(X)) -> active(sieve(mark(X))) [1]
   filter(X1, X2, c_active(X3)) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, filter(Y, N, M))) [1]
   nats(c_mark(X)) -> nats(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   filter(X1, X2, c_mark(X3)) -> filter(X1, X2, X3) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   encArg(0) -> 0 [0]
   encArg(zprimes) -> zprimes [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1)) [0]
   encArg(cons_nats(x_1)) -> nats(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_sieve(x_1) -> sieve(encArg(x_1)) [0]
   encode_nats(x_1) -> nats(encArg(x_1)) [0]
   encode_zprimes -> zprimes [0]
   s(x0) -> c_s(x0) [0]
   nats(x0) -> c_nats(x0) [0]
   active(x0) -> c_active(x0) [0]
   filter(x0, x1, x2) -> c_filter(x0, x1, x2) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   sieve(x0) -> c_sieve(x0) [0]
   mark(x0) -> c_mark(x0) [0]

The TRS has the following type information:
active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
c_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
cons_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats
encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats

Rewrite Strategy: INNERMOST
----------------------------------------

(23) CompletionProof (UPPER BOUND(ID))
The transformation into a RNTS is sound, since:

(a) The obligation is a constructor system where every type has a constant constructor,

(b) The following defined symbols do not have to be completely defined, as they can never occur inside other defined symbols:
none

(c) The following functions are completely defined:

   encArg_1
   encode_active_1
   encode_filter_3
   encode_cons_2
   encode_0
   encode_mark_1
   encode_s_1
   encode_sieve_1
   encode_nats_1
   encode_zprimes
   s_1
   nats_1
   active_1
   filter_3
   cons_2
   sieve_1
   mark_1

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_filter(v0, v1, v2) -> null_encode_filter [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_s(v0) -> null_encode_s [0]
   encode_sieve(v0) -> null_encode_sieve [0]
   encode_nats(v0) -> null_encode_nats [0]
   encode_zprimes -> null_encode_zprimes [0]
   s(v0) -> null_s [0]
   nats(v0) -> null_nats [0]
   active(v0) -> null_active [0]
   filter(v0, v1, v2) -> null_filter [0]
   cons(v0, v1) -> null_cons [0]
   sieve(v0) -> null_sieve [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_filter, null_encode_cons, null_encode_0, null_encode_mark, null_encode_s, null_encode_sieve, null_encode_nats, null_encode_zprimes, null_s, null_nats, null_active, null_filter, null_cons, null_sieve, null_mark

----------------------------------------

(24)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zprimes) -> mark(sieve(nats(s(s(0))))) [1]
   mark(0) -> active(0) [1]
   mark(zprimes) -> active(zprimes) [1]
   filter(X1, c_active(X2), X3) -> filter(X1, X2, X3) [1]
   filter(c_mark(X1), X2, X3) -> filter(X1, X2, X3) [1]
   sieve(c_mark(X)) -> sieve(X) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, sieve(Y))) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   s(c_active(X)) -> s(X) [1]
   active(c_nats(N)) -> mark(cons(N, nats(s(N)))) [1]
   sieve(c_active(X)) -> sieve(X) [1]
   nats(c_active(X)) -> nats(X) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   filter(X1, c_mark(X2), X3) -> filter(X1, X2, X3) [1]
   active(c_sieve(c_cons(c_s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N)))) [1]
   filter(c_active(X1), X2, X3) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M))) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_nats(X)) -> active(nats(mark(X))) [1]
   mark(c_filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) [1]
   mark(c_sieve(X)) -> active(sieve(mark(X))) [1]
   filter(X1, X2, c_active(X3)) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, filter(Y, N, M))) [1]
   nats(c_mark(X)) -> nats(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   filter(X1, X2, c_mark(X3)) -> filter(X1, X2, X3) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   encArg(0) -> 0 [0]
   encArg(zprimes) -> zprimes [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1)) [0]
   encArg(cons_nats(x_1)) -> nats(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_sieve(x_1) -> sieve(encArg(x_1)) [0]
   encode_nats(x_1) -> nats(encArg(x_1)) [0]
   encode_zprimes -> zprimes [0]
   s(x0) -> c_s(x0) [0]
   nats(x0) -> c_nats(x0) [0]
   active(x0) -> c_active(x0) [0]
   filter(x0, x1, x2) -> c_filter(x0, x1, x2) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   sieve(x0) -> c_sieve(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_filter(v0, v1, v2) -> null_encode_filter [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_s(v0) -> null_encode_s [0]
   encode_sieve(v0) -> null_encode_sieve [0]
   encode_nats(v0) -> null_encode_nats [0]
   encode_zprimes -> null_encode_zprimes [0]
   s(v0) -> null_s [0]
   nats(v0) -> null_nats [0]
   active(v0) -> null_active [0]
   filter(v0, v1, v2) -> null_filter [0]
   cons(v0, v1) -> null_cons [0]
   sieve(v0) -> null_sieve [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark

Rewrite Strategy: INNERMOST
----------------------------------------

(25) NarrowingProof (BOTH BOUNDS(ID, ID))
Narrowed the inner basic terms of all right-hand sides by a single narrowing step.
----------------------------------------

(26)
Obligation:
Runtime Complexity Weighted TRS where critical functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zprimes) -> mark(sieve(nats(s(c_s(0))))) [1]
   active(zprimes) -> mark(sieve(nats(s(null_s)))) [1]
   mark(0) -> active(0) [1]
   mark(zprimes) -> active(zprimes) [1]
   filter(X1, c_active(X2), X3) -> filter(X1, X2, X3) [1]
   filter(c_mark(X1), X2, X3) -> filter(X1, X2, X3) [1]
   sieve(c_mark(X)) -> sieve(X) [1]
   mark(c_s(0)) -> active(s(active(0))) [2]
   mark(c_s(zprimes)) -> active(s(active(zprimes))) [2]
   mark(c_s(c_s(X'))) -> active(s(active(s(mark(X'))))) [2]
   mark(c_s(c_nats(X''))) -> active(s(active(nats(mark(X''))))) [2]
   mark(c_s(c_filter(X1', X2', X3'))) -> active(s(active(filter(mark(X1'), mark(X2'), mark(X3'))))) [2]
   mark(c_s(c_sieve(X4))) -> active(s(active(sieve(mark(X4))))) [2]
   mark(c_s(c_cons(X1'', X2''))) -> active(s(active(cons(mark(X1''), X2'')))) [2]
   mark(c_s(X)) -> active(s(c_mark(X))) [1]
   mark(c_s(X)) -> active(s(null_mark)) [1]
   active(c_sieve(c_cons(0, c_mark(X5)))) -> mark(cons(0, sieve(X5))) [2]
   active(c_sieve(c_cons(0, c_active(X6)))) -> mark(cons(0, sieve(X6))) [2]
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, c_sieve(Y))) [1]
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, null_sieve)) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   s(c_active(X)) -> s(X) [1]
   active(c_nats(c_active(X7))) -> mark(cons(c_active(X7), nats(s(X7)))) [2]
   active(c_nats(c_mark(X8))) -> mark(cons(c_mark(X8), nats(s(X8)))) [2]
   active(c_nats(N)) -> mark(cons(N, nats(c_s(N)))) [1]
   active(c_nats(N)) -> mark(cons(N, nats(null_s))) [1]
   sieve(c_active(X)) -> sieve(X) [1]
   nats(c_active(X)) -> nats(X) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   filter(X1, c_mark(X2), X3) -> filter(X1, X2, X3) [1]
   active(c_sieve(c_cons(c_s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N)))) [1]
   filter(c_active(X1), X2, X3) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), 0, c_active(X25))) -> mark(cons(0, filter(Y, X25, c_active(X25)))) [2]
   active(c_filter(c_cons(X, c_mark(X19)), 0, M)) -> mark(cons(0, filter(X19, M, M))) [2]
   active(c_filter(c_cons(X, Y), 0, c_mark(X26))) -> mark(cons(0, filter(Y, X26, c_mark(X26)))) [2]
   active(c_filter(c_cons(X, c_active(X110)), 0, M)) -> mark(cons(0, filter(X110, M, M))) [2]
   active(c_filter(c_cons(X, Y), 0, c_active(X34))) -> mark(cons(0, filter(Y, c_active(X34), X34))) [2]
   active(c_filter(c_cons(X, Y), 0, c_mark(X35))) -> mark(cons(0, filter(Y, c_mark(X35), X35))) [2]
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, c_filter(Y, M, M))) [1]
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, null_filter)) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_nats(0)) -> active(nats(active(0))) [2]
   mark(c_nats(zprimes)) -> active(nats(active(zprimes))) [2]
   mark(c_nats(c_s(X20))) -> active(nats(active(s(mark(X20))))) [2]
   mark(c_nats(c_nats(X27))) -> active(nats(active(nats(mark(X27))))) [2]
   mark(c_nats(c_filter(X111, X28, X36))) -> active(nats(active(filter(mark(X111), mark(X28), mark(X36))))) [2]
   mark(c_nats(c_sieve(X29))) -> active(nats(active(sieve(mark(X29))))) [2]
   mark(c_nats(c_cons(X112, X210))) -> active(nats(active(cons(mark(X112), X210)))) [2]
   mark(c_nats(X)) -> active(nats(c_mark(X))) [1]
   mark(c_nats(X)) -> active(nats(null_mark)) [1]
   mark(c_filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) [1]
   mark(c_sieve(0)) -> active(sieve(active(0))) [2]
   mark(c_sieve(zprimes)) -> active(sieve(active(zprimes))) [2]
   mark(c_sieve(c_s(X509))) -> active(sieve(active(s(mark(X509))))) [2]
   mark(c_sieve(c_nats(X510))) -> active(sieve(active(nats(mark(X510))))) [2]
   mark(c_sieve(c_filter(X1218, X2204, X3137))) -> active(sieve(active(filter(mark(X1218), mark(X2204), mark(X3137))))) [2]
   mark(c_sieve(c_sieve(X511))) -> active(sieve(active(sieve(mark(X511))))) [2]
   mark(c_sieve(c_cons(X1219, X2205))) -> active(sieve(active(cons(mark(X1219), X2205)))) [2]
   mark(c_sieve(X)) -> active(sieve(c_mark(X))) [1]
   mark(c_sieve(X)) -> active(sieve(null_mark)) [1]
   filter(X1, X2, c_active(X3)) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), c_s(c_active(X2206)), M)) -> mark(cons(X, filter(Y, X2206, M))) [2]
   active(c_filter(c_cons(X, c_mark(X1220)), c_s(N), M)) -> mark(cons(X, filter(X1220, N, M))) [2]
   active(c_filter(c_cons(X, Y), c_s(c_mark(X2207)), M)) -> mark(cons(X, filter(Y, X2207, M))) [2]
   active(c_filter(c_cons(X, c_active(X1221)), c_s(N), M)) -> mark(cons(X, filter(X1221, N, M))) [2]
   active(c_filter(c_cons(X, Y), c_s(N), c_active(X3138))) -> mark(cons(X, filter(Y, N, X3138))) [2]
   active(c_filter(c_cons(X, Y), c_s(N), c_mark(X3139))) -> mark(cons(X, filter(Y, N, X3139))) [2]
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, c_filter(Y, N, M))) [1]
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, null_filter)) [1]
   nats(c_mark(X)) -> nats(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   filter(X1, X2, c_mark(X3)) -> filter(X1, X2, X3) [1]
   mark(c_cons(0, X2)) -> active(cons(active(0), X2)) [2]
   mark(c_cons(zprimes, X2)) -> active(cons(active(zprimes), X2)) [2]
   mark(c_cons(c_s(X512), X2)) -> active(cons(active(s(mark(X512))), X2)) [2]
   mark(c_cons(c_nats(X513), X2)) -> active(cons(active(nats(mark(X513))), X2)) [2]
   mark(c_cons(c_filter(X1222, X2208, X3140), X2)) -> active(cons(active(filter(mark(X1222), mark(X2208), mark(X3140))), X2)) [2]
   mark(c_cons(c_sieve(X514), X2)) -> active(cons(active(sieve(mark(X514))), X2)) [2]
   mark(c_cons(c_cons(X1223, X2209), X2)) -> active(cons(active(cons(mark(X1223), X2209)), X2)) [2]
   mark(c_cons(X1, X2)) -> active(cons(c_mark(X1), X2)) [1]
   mark(c_cons(X1, X2)) -> active(cons(null_mark, X2)) [1]
   encArg(0) -> 0 [0]
   encArg(zprimes) -> zprimes [0]
   encArg(cons_active(0)) -> active(0) [0]
   encArg(cons_active(zprimes)) -> active(zprimes) [0]
   encArg(cons_active(cons_active(x_1'))) -> active(active(encArg(x_1'))) [0]
   encArg(cons_active(cons_mark(x_1''))) -> active(mark(encArg(x_1''))) [0]
   encArg(cons_active(cons_filter(x_11, x_2', x_3'))) -> active(filter(encArg(x_11), encArg(x_2'), encArg(x_3'))) [0]
   encArg(cons_active(cons_cons(x_12, x_2''))) -> active(cons(encArg(x_12), encArg(x_2''))) [0]
   encArg(cons_active(cons_s(x_13))) -> active(s(encArg(x_13))) [0]
   encArg(cons_active(cons_sieve(x_14))) -> active(sieve(encArg(x_14))) [0]
   encArg(cons_active(cons_nats(x_15))) -> active(nats(encArg(x_15))) [0]
   encArg(cons_active(x_1)) -> active(null_encArg) [0]
   encArg(cons_mark(0)) -> mark(0) [0]
   encArg(cons_mark(zprimes)) -> mark(zprimes) [0]
   encArg(cons_mark(cons_active(x_16))) -> mark(active(encArg(x_16))) [0]
   encArg(cons_mark(cons_mark(x_17))) -> mark(mark(encArg(x_17))) [0]
   encArg(cons_mark(cons_filter(x_18, x_21, x_3''))) -> mark(filter(encArg(x_18), encArg(x_21), encArg(x_3''))) [0]
   encArg(cons_mark(cons_cons(x_19, x_22))) -> mark(cons(encArg(x_19), encArg(x_22))) [0]
   encArg(cons_mark(cons_s(x_110))) -> mark(s(encArg(x_110))) [0]
   encArg(cons_mark(cons_sieve(x_111))) -> mark(sieve(encArg(x_111))) [0]
   encArg(cons_mark(cons_nats(x_112))) -> mark(nats(encArg(x_112))) [0]
   encArg(cons_mark(x_1)) -> mark(null_encArg) [0]
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(0)) -> s(0) [0]
   encArg(cons_s(zprimes)) -> s(zprimes) [0]
   encArg(cons_s(cons_active(x_1867))) -> s(active(encArg(x_1867))) [0]
   encArg(cons_s(cons_mark(x_1868))) -> s(mark(encArg(x_1868))) [0]
   encArg(cons_s(cons_filter(x_1869, x_2247, x_3123))) -> s(filter(encArg(x_1869), encArg(x_2247), encArg(x_3123))) [0]
   encArg(cons_s(cons_cons(x_1870, x_2248))) -> s(cons(encArg(x_1870), encArg(x_2248))) [0]
   encArg(cons_s(cons_s(x_1871))) -> s(s(encArg(x_1871))) [0]
   encArg(cons_s(cons_sieve(x_1872))) -> s(sieve(encArg(x_1872))) [0]
   encArg(cons_s(cons_nats(x_1873))) -> s(nats(encArg(x_1873))) [0]
   encArg(cons_s(x_1)) -> s(null_encArg) [0]
   encArg(cons_sieve(0)) -> sieve(0) [0]
   encArg(cons_sieve(zprimes)) -> sieve(zprimes) [0]
   encArg(cons_sieve(cons_active(x_1874))) -> sieve(active(encArg(x_1874))) [0]
   encArg(cons_sieve(cons_mark(x_1875))) -> sieve(mark(encArg(x_1875))) [0]
   encArg(cons_sieve(cons_filter(x_1876, x_2249, x_3124))) -> sieve(filter(encArg(x_1876), encArg(x_2249), encArg(x_3124))) [0]
   encArg(cons_sieve(cons_cons(x_1877, x_2250))) -> sieve(cons(encArg(x_1877), encArg(x_2250))) [0]
   encArg(cons_sieve(cons_s(x_1878))) -> sieve(s(encArg(x_1878))) [0]
   encArg(cons_sieve(cons_sieve(x_1879))) -> sieve(sieve(encArg(x_1879))) [0]
   encArg(cons_sieve(cons_nats(x_1880))) -> sieve(nats(encArg(x_1880))) [0]
   encArg(cons_sieve(x_1)) -> sieve(null_encArg) [0]
   encArg(cons_nats(0)) -> nats(0) [0]
   encArg(cons_nats(zprimes)) -> nats(zprimes) [0]
   encArg(cons_nats(cons_active(x_1881))) -> nats(active(encArg(x_1881))) [0]
   encArg(cons_nats(cons_mark(x_1882))) -> nats(mark(encArg(x_1882))) [0]
   encArg(cons_nats(cons_filter(x_1883, x_2251, x_3125))) -> nats(filter(encArg(x_1883), encArg(x_2251), encArg(x_3125))) [0]
   encArg(cons_nats(cons_cons(x_1884, x_2252))) -> nats(cons(encArg(x_1884), encArg(x_2252))) [0]
   encArg(cons_nats(cons_s(x_1885))) -> nats(s(encArg(x_1885))) [0]
   encArg(cons_nats(cons_sieve(x_1886))) -> nats(sieve(encArg(x_1886))) [0]
   encArg(cons_nats(cons_nats(x_1887))) -> nats(nats(encArg(x_1887))) [0]
   encArg(cons_nats(x_1)) -> nats(null_encArg) [0]
   encode_active(0) -> active(0) [0]
   encode_active(zprimes) -> active(zprimes) [0]
   encode_active(cons_active(x_1888)) -> active(active(encArg(x_1888))) [0]
   encode_active(cons_mark(x_1889)) -> active(mark(encArg(x_1889))) [0]
   encode_active(cons_filter(x_1890, x_2253, x_3126)) -> active(filter(encArg(x_1890), encArg(x_2253), encArg(x_3126))) [0]
   encode_active(cons_cons(x_1891, x_2254)) -> active(cons(encArg(x_1891), encArg(x_2254))) [0]
   encode_active(cons_s(x_1892)) -> active(s(encArg(x_1892))) [0]
   encode_active(cons_sieve(x_1893)) -> active(sieve(encArg(x_1893))) [0]
   encode_active(cons_nats(x_1894)) -> active(nats(encArg(x_1894))) [0]
   encode_active(x_1) -> active(null_encArg) [0]
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_mark(0) -> mark(0) [0]
   encode_mark(zprimes) -> mark(zprimes) [0]
   encode_mark(cons_active(x_11749)) -> mark(active(encArg(x_11749))) [0]
   encode_mark(cons_mark(x_11750)) -> mark(mark(encArg(x_11750))) [0]
   encode_mark(cons_filter(x_11751, x_2499, x_3249)) -> mark(filter(encArg(x_11751), encArg(x_2499), encArg(x_3249))) [0]
   encode_mark(cons_cons(x_11752, x_2500)) -> mark(cons(encArg(x_11752), encArg(x_2500))) [0]
   encode_mark(cons_s(x_11753)) -> mark(s(encArg(x_11753))) [0]
   encode_mark(cons_sieve(x_11754)) -> mark(sieve(encArg(x_11754))) [0]
   encode_mark(cons_nats(x_11755)) -> mark(nats(encArg(x_11755))) [0]
   encode_mark(x_1) -> mark(null_encArg) [0]
   encode_s(0) -> s(0) [0]
   encode_s(zprimes) -> s(zprimes) [0]
   encode_s(cons_active(x_11756)) -> s(active(encArg(x_11756))) [0]
   encode_s(cons_mark(x_11757)) -> s(mark(encArg(x_11757))) [0]
   encode_s(cons_filter(x_11758, x_2501, x_3250)) -> s(filter(encArg(x_11758), encArg(x_2501), encArg(x_3250))) [0]
   encode_s(cons_cons(x_11759, x_2502)) -> s(cons(encArg(x_11759), encArg(x_2502))) [0]
   encode_s(cons_s(x_11760)) -> s(s(encArg(x_11760))) [0]
   encode_s(cons_sieve(x_11761)) -> s(sieve(encArg(x_11761))) [0]
   encode_s(cons_nats(x_11762)) -> s(nats(encArg(x_11762))) [0]
   encode_s(x_1) -> s(null_encArg) [0]
   encode_sieve(0) -> sieve(0) [0]
   encode_sieve(zprimes) -> sieve(zprimes) [0]
   encode_sieve(cons_active(x_11763)) -> sieve(active(encArg(x_11763))) [0]
   encode_sieve(cons_mark(x_11764)) -> sieve(mark(encArg(x_11764))) [0]
   encode_sieve(cons_filter(x_11765, x_2503, x_3251)) -> sieve(filter(encArg(x_11765), encArg(x_2503), encArg(x_3251))) [0]
   encode_sieve(cons_cons(x_11766, x_2504)) -> sieve(cons(encArg(x_11766), encArg(x_2504))) [0]
   encode_sieve(cons_s(x_11767)) -> sieve(s(encArg(x_11767))) [0]
   encode_sieve(cons_sieve(x_11768)) -> sieve(sieve(encArg(x_11768))) [0]
   encode_sieve(cons_nats(x_11769)) -> sieve(nats(encArg(x_11769))) [0]
   encode_sieve(x_1) -> sieve(null_encArg) [0]
   encode_nats(0) -> nats(0) [0]
   encode_nats(zprimes) -> nats(zprimes) [0]
   encode_nats(cons_active(x_11770)) -> nats(active(encArg(x_11770))) [0]
   encode_nats(cons_mark(x_11771)) -> nats(mark(encArg(x_11771))) [0]
   encode_nats(cons_filter(x_11772, x_2505, x_3252)) -> nats(filter(encArg(x_11772), encArg(x_2505), encArg(x_3252))) [0]
   encode_nats(cons_cons(x_11773, x_2506)) -> nats(cons(encArg(x_11773), encArg(x_2506))) [0]
   encode_nats(cons_s(x_11774)) -> nats(s(encArg(x_11774))) [0]
   encode_nats(cons_sieve(x_11775)) -> nats(sieve(encArg(x_11775))) [0]
   encode_nats(cons_nats(x_11776)) -> nats(nats(encArg(x_11776))) [0]
   encode_nats(x_1) -> nats(null_encArg) [0]
   encode_zprimes -> zprimes [0]
   s(x0) -> c_s(x0) [0]
   nats(x0) -> c_nats(x0) [0]
   active(x0) -> c_active(x0) [0]
   filter(x0, x1, x2) -> c_filter(x0, x1, x2) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   sieve(x0) -> c_sieve(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_filter(v0, v1, v2) -> null_encode_filter [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_s(v0) -> null_encode_s [0]
   encode_sieve(v0) -> null_encode_sieve [0]
   encode_nats(v0) -> null_encode_nats [0]
   encode_zprimes -> null_encode_zprimes [0]
   s(v0) -> null_s [0]
   nats(v0) -> null_nats [0]
   active(v0) -> null_active [0]
   filter(v0, v1, v2) -> null_filter [0]
   cons(v0, v1) -> null_cons [0]
   sieve(v0) -> null_sieve [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark

Rewrite Strategy: INNERMOST
----------------------------------------

(27) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   zprimes => 1
   0 => 0
   null_encArg => 0
   null_encode_active => 0
   null_encode_filter => 0
   null_encode_cons => 0
   null_encode_0 => 0
   null_encode_mark => 0
   null_encode_s => 0
   null_encode_sieve => 0
   null_encode_nats => 0
   null_encode_zprimes => 0
   null_s => 0
   null_nats => 0
   null_active => 0
   null_filter => 0
   null_cons => 0
   null_sieve => 0
   null_mark => 0

----------------------------------------

(28)
Obligation:
Complexity RNTS consisting of the following rules:

   active(z) -{ 1 }-> mark(sieve(nats(s(0)))) :|: z = 1
   active(z) -{ 1 }-> mark(sieve(nats(s(1 + 0)))) :|: z = 1
   active(z) -{ 1 }-> mark(cons(N, nats(0))) :|: z = 1 + N, N >= 0
   active(z) -{ 1 }-> mark(cons(N, nats(1 + N))) :|: z = 1 + N, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(X1220, N, M))) :|: X1220 >= 0, z = 1 + (1 + X + (1 + X1220)) + (1 + N) + M, X >= 0, M >= 0, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(X1221, N, M))) :|: X >= 0, z = 1 + (1 + X + (1 + X1221)) + (1 + N) + M, M >= 0, X1221 >= 0, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(Y, N, X3138))) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + (1 + X3138), N >= 0, X3138 >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(Y, N, X3139))) :|: z = 1 + (1 + X + Y) + (1 + N) + (1 + X3139), Y >= 0, X >= 0, X3139 >= 0, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(Y, X2206, M))) :|: X2206 >= 0, Y >= 0, X >= 0, M >= 0, z = 1 + (1 + X + Y) + (1 + (1 + X2206)) + M
   active(z) -{ 2 }-> mark(cons(X, filter(Y, X2207, M))) :|: z = 1 + (1 + X + Y) + (1 + (1 + X2207)) + M, Y >= 0, X >= 0, X2207 >= 0, M >= 0
   active(z) -{ 1 }-> mark(cons(X, 0)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + M, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(cons(X, 1 + Y + N + M)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + M, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(cons(s(N), sieve(filter(Y, N, N)))) :|: Y >= 0, z = 1 + (1 + (1 + N) + Y), N >= 0
   active(z) -{ 2 }-> mark(cons(0, sieve(X5))) :|: X5 >= 0, z = 1 + (1 + 0 + (1 + X5))
   active(z) -{ 2 }-> mark(cons(0, sieve(X6))) :|: z = 1 + (1 + 0 + (1 + X6)), X6 >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(X110, M, M))) :|: X110 >= 0, X >= 0, z = 1 + (1 + X + (1 + X110)) + 0 + M, M >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(X19, M, M))) :|: z = 1 + (1 + X + (1 + X19)) + 0 + M, X19 >= 0, X >= 0, M >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(Y, X25, 1 + X25))) :|: Y >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X25), X >= 0, X25 >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(Y, X26, 1 + X26))) :|: X26 >= 0, Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X26)
   active(z) -{ 2 }-> mark(cons(0, filter(Y, 1 + X34, X34))) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X34), X34 >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(Y, 1 + X35, X35))) :|: Y >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X35), X >= 0, X35 >= 0
   active(z) -{ 1 }-> mark(cons(0, 0)) :|: z = 1 + (1 + 0 + Y), Y >= 0
   active(z) -{ 1 }-> mark(cons(0, 0)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + M, M >= 0
   active(z) -{ 1 }-> mark(cons(0, 1 + Y)) :|: z = 1 + (1 + 0 + Y), Y >= 0
   active(z) -{ 1 }-> mark(cons(0, 1 + Y + M + M)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + M, M >= 0
   active(z) -{ 2 }-> mark(cons(1 + X7, nats(s(X7)))) :|: X7 >= 0, z = 1 + (1 + X7)
   active(z) -{ 2 }-> mark(cons(1 + X8, nats(s(X8)))) :|: X8 >= 0, z = 1 + (1 + X8)
   active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   cons(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   encArg(z) -{ 0 }-> sieve(sieve(encArg(x_1879))) :|: x_1879 >= 0, z = 1 + (1 + x_1879)
   encArg(z) -{ 0 }-> sieve(s(encArg(x_1878))) :|: z = 1 + (1 + x_1878), x_1878 >= 0
   encArg(z) -{ 0 }-> sieve(nats(encArg(x_1880))) :|: x_1880 >= 0, z = 1 + (1 + x_1880)
   encArg(z) -{ 0 }-> sieve(mark(encArg(x_1875))) :|: z = 1 + (1 + x_1875), x_1875 >= 0
   encArg(z) -{ 0 }-> sieve(filter(encArg(x_1876), encArg(x_2249), encArg(x_3124))) :|: z = 1 + (1 + x_1876 + x_2249 + x_3124), x_1876 >= 0, x_2249 >= 0, x_3124 >= 0
   encArg(z) -{ 0 }-> sieve(cons(encArg(x_1877), encArg(x_2250))) :|: x_2250 >= 0, x_1877 >= 0, z = 1 + (1 + x_1877 + x_2250)
   encArg(z) -{ 0 }-> sieve(active(encArg(x_1874))) :|: z = 1 + (1 + x_1874), x_1874 >= 0
   encArg(z) -{ 0 }-> sieve(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> sieve(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> sieve(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> s(sieve(encArg(x_1872))) :|: z = 1 + (1 + x_1872), x_1872 >= 0
   encArg(z) -{ 0 }-> s(s(encArg(x_1871))) :|: x_1871 >= 0, z = 1 + (1 + x_1871)
   encArg(z) -{ 0 }-> s(nats(encArg(x_1873))) :|: z = 1 + (1 + x_1873), x_1873 >= 0
   encArg(z) -{ 0 }-> s(mark(encArg(x_1868))) :|: z = 1 + (1 + x_1868), x_1868 >= 0
   encArg(z) -{ 0 }-> s(filter(encArg(x_1869), encArg(x_2247), encArg(x_3123))) :|: x_3123 >= 0, x_1869 >= 0, z = 1 + (1 + x_1869 + x_2247 + x_3123), x_2247 >= 0
   encArg(z) -{ 0 }-> s(cons(encArg(x_1870), encArg(x_2248))) :|: x_2248 >= 0, z = 1 + (1 + x_1870 + x_2248), x_1870 >= 0
   encArg(z) -{ 0 }-> s(active(encArg(x_1867))) :|: z = 1 + (1 + x_1867), x_1867 >= 0
   encArg(z) -{ 0 }-> s(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> s(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> s(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> nats(sieve(encArg(x_1886))) :|: x_1886 >= 0, z = 1 + (1 + x_1886)
   encArg(z) -{ 0 }-> nats(s(encArg(x_1885))) :|: z = 1 + (1 + x_1885), x_1885 >= 0
   encArg(z) -{ 0 }-> nats(nats(encArg(x_1887))) :|: z = 1 + (1 + x_1887), x_1887 >= 0
   encArg(z) -{ 0 }-> nats(mark(encArg(x_1882))) :|: x_1882 >= 0, z = 1 + (1 + x_1882)
   encArg(z) -{ 0 }-> nats(filter(encArg(x_1883), encArg(x_2251), encArg(x_3125))) :|: x_2251 >= 0, x_3125 >= 0, z = 1 + (1 + x_1883 + x_2251 + x_3125), x_1883 >= 0
   encArg(z) -{ 0 }-> nats(cons(encArg(x_1884), encArg(x_2252))) :|: z = 1 + (1 + x_1884 + x_2252), x_2252 >= 0, x_1884 >= 0
   encArg(z) -{ 0 }-> nats(active(encArg(x_1881))) :|: x_1881 >= 0, z = 1 + (1 + x_1881)
   encArg(z) -{ 0 }-> nats(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> nats(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> nats(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> mark(sieve(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> mark(s(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> mark(nats(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> mark(mark(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> mark(filter(encArg(x_18), encArg(x_21), encArg(x_3''))) :|: z = 1 + (1 + x_18 + x_21 + x_3''), x_18 >= 0, x_21 >= 0, x_3'' >= 0
   encArg(z) -{ 0 }-> mark(cons(encArg(x_19), encArg(x_22))) :|: z = 1 + (1 + x_19 + x_22), x_22 >= 0, x_19 >= 0
   encArg(z) -{ 0 }-> mark(active(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> mark(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> mark(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> mark(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> filter(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z = 1 + x_1 + x_2 + x_3, x_3 >= 0, x_2 >= 0
   encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> active(sieve(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> active(s(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> active(nats(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> active(mark(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> active(filter(encArg(x_11), encArg(x_2'), encArg(x_3'))) :|: x_11 >= 0, x_3' >= 0, x_2' >= 0, z = 1 + (1 + x_11 + x_2' + x_3')
   encArg(z) -{ 0 }-> active(cons(encArg(x_12), encArg(x_2''))) :|: z = 1 + (1 + x_12 + x_2''), x_2'' >= 0, x_12 >= 0
   encArg(z) -{ 0 }-> active(active(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> active(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> active(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> active(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0 -{ 0 }-> 0 :|: 
   encode_active(z) -{ 0 }-> active(sieve(encArg(x_1893))) :|: z = 1 + x_1893, x_1893 >= 0
   encode_active(z) -{ 0 }-> active(s(encArg(x_1892))) :|: x_1892 >= 0, z = 1 + x_1892
   encode_active(z) -{ 0 }-> active(nats(encArg(x_1894))) :|: x_1894 >= 0, z = 1 + x_1894
   encode_active(z) -{ 0 }-> active(mark(encArg(x_1889))) :|: x_1889 >= 0, z = 1 + x_1889
   encode_active(z) -{ 0 }-> active(filter(encArg(x_1890), encArg(x_2253), encArg(x_3126))) :|: x_3126 >= 0, x_1890 >= 0, z = 1 + x_1890 + x_2253 + x_3126, x_2253 >= 0
   encode_active(z) -{ 0 }-> active(cons(encArg(x_1891), encArg(x_2254))) :|: z = 1 + x_1891 + x_2254, x_1891 >= 0, x_2254 >= 0
   encode_active(z) -{ 0 }-> active(active(encArg(x_1888))) :|: x_1888 >= 0, z = 1 + x_1888
   encode_active(z) -{ 0 }-> active(1) :|: z = 1
   encode_active(z) -{ 0 }-> active(0) :|: z = 0
   encode_active(z) -{ 0 }-> active(0) :|: x_1 >= 0, z = x_1
   encode_active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_cons(z, z') -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_filter(z, z', z'') -{ 0 }-> filter(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, x_3 >= 0, x_2 >= 0, z = x_1, z' = x_2, z'' = x_3
   encode_filter(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   encode_mark(z) -{ 0 }-> mark(sieve(encArg(x_11754))) :|: x_11754 >= 0, z = 1 + x_11754
   encode_mark(z) -{ 0 }-> mark(s(encArg(x_11753))) :|: z = 1 + x_11753, x_11753 >= 0
   encode_mark(z) -{ 0 }-> mark(nats(encArg(x_11755))) :|: z = 1 + x_11755, x_11755 >= 0
   encode_mark(z) -{ 0 }-> mark(mark(encArg(x_11750))) :|: x_11750 >= 0, z = 1 + x_11750
   encode_mark(z) -{ 0 }-> mark(filter(encArg(x_11751), encArg(x_2499), encArg(x_3249))) :|: x_2499 >= 0, z = 1 + x_11751 + x_2499 + x_3249, x_11751 >= 0, x_3249 >= 0
   encode_mark(z) -{ 0 }-> mark(cons(encArg(x_11752), encArg(x_2500))) :|: x_2500 >= 0, x_11752 >= 0, z = 1 + x_11752 + x_2500
   encode_mark(z) -{ 0 }-> mark(active(encArg(x_11749))) :|: x_11749 >= 0, z = 1 + x_11749
   encode_mark(z) -{ 0 }-> mark(1) :|: z = 1
   encode_mark(z) -{ 0 }-> mark(0) :|: z = 0
   encode_mark(z) -{ 0 }-> mark(0) :|: x_1 >= 0, z = x_1
   encode_mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_nats(z) -{ 0 }-> nats(sieve(encArg(x_11775))) :|: z = 1 + x_11775, x_11775 >= 0
   encode_nats(z) -{ 0 }-> nats(s(encArg(x_11774))) :|: z = 1 + x_11774, x_11774 >= 0
   encode_nats(z) -{ 0 }-> nats(nats(encArg(x_11776))) :|: z = 1 + x_11776, x_11776 >= 0
   encode_nats(z) -{ 0 }-> nats(mark(encArg(x_11771))) :|: x_11771 >= 0, z = 1 + x_11771
   encode_nats(z) -{ 0 }-> nats(filter(encArg(x_11772), encArg(x_2505), encArg(x_3252))) :|: x_3252 >= 0, x_11772 >= 0, x_2505 >= 0, z = 1 + x_11772 + x_2505 + x_3252
   encode_nats(z) -{ 0 }-> nats(cons(encArg(x_11773), encArg(x_2506))) :|: z = 1 + x_11773 + x_2506, x_2506 >= 0, x_11773 >= 0
   encode_nats(z) -{ 0 }-> nats(active(encArg(x_11770))) :|: z = 1 + x_11770, x_11770 >= 0
   encode_nats(z) -{ 0 }-> nats(1) :|: z = 1
   encode_nats(z) -{ 0 }-> nats(0) :|: z = 0
   encode_nats(z) -{ 0 }-> nats(0) :|: x_1 >= 0, z = x_1
   encode_nats(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_s(z) -{ 0 }-> s(sieve(encArg(x_11761))) :|: x_11761 >= 0, z = 1 + x_11761
   encode_s(z) -{ 0 }-> s(s(encArg(x_11760))) :|: z = 1 + x_11760, x_11760 >= 0
   encode_s(z) -{ 0 }-> s(nats(encArg(x_11762))) :|: x_11762 >= 0, z = 1 + x_11762
   encode_s(z) -{ 0 }-> s(mark(encArg(x_11757))) :|: z = 1 + x_11757, x_11757 >= 0
   encode_s(z) -{ 0 }-> s(filter(encArg(x_11758), encArg(x_2501), encArg(x_3250))) :|: x_11758 >= 0, z = 1 + x_11758 + x_2501 + x_3250, x_2501 >= 0, x_3250 >= 0
   encode_s(z) -{ 0 }-> s(cons(encArg(x_11759), encArg(x_2502))) :|: x_11759 >= 0, z = 1 + x_11759 + x_2502, x_2502 >= 0
   encode_s(z) -{ 0 }-> s(active(encArg(x_11756))) :|: z = 1 + x_11756, x_11756 >= 0
   encode_s(z) -{ 0 }-> s(1) :|: z = 1
   encode_s(z) -{ 0 }-> s(0) :|: z = 0
   encode_s(z) -{ 0 }-> s(0) :|: x_1 >= 0, z = x_1
   encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_sieve(z) -{ 0 }-> sieve(sieve(encArg(x_11768))) :|: x_11768 >= 0, z = 1 + x_11768
   encode_sieve(z) -{ 0 }-> sieve(s(encArg(x_11767))) :|: x_11767 >= 0, z = 1 + x_11767
   encode_sieve(z) -{ 0 }-> sieve(nats(encArg(x_11769))) :|: x_11769 >= 0, z = 1 + x_11769
   encode_sieve(z) -{ 0 }-> sieve(mark(encArg(x_11764))) :|: z = 1 + x_11764, x_11764 >= 0
   encode_sieve(z) -{ 0 }-> sieve(filter(encArg(x_11765), encArg(x_2503), encArg(x_3251))) :|: x_11765 >= 0, x_2503 >= 0, z = 1 + x_11765 + x_2503 + x_3251, x_3251 >= 0
   encode_sieve(z) -{ 0 }-> sieve(cons(encArg(x_11766), encArg(x_2504))) :|: x_2504 >= 0, z = 1 + x_11766 + x_2504, x_11766 >= 0
   encode_sieve(z) -{ 0 }-> sieve(active(encArg(x_11763))) :|: x_11763 >= 0, z = 1 + x_11763
   encode_sieve(z) -{ 0 }-> sieve(1) :|: z = 1
   encode_sieve(z) -{ 0 }-> sieve(0) :|: z = 0
   encode_sieve(z) -{ 0 }-> sieve(0) :|: x_1 >= 0, z = x_1
   encode_sieve(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_zprimes -{ 0 }-> 1 :|: 
   encode_zprimes -{ 0 }-> 0 :|: 
   filter(z, z', z'') -{ 1 }-> filter(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   filter(z, z', z'') -{ 1 }-> filter(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   filter(z, z', z'') -{ 1 }-> filter(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   filter(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   filter(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   mark(z) -{ 2 }-> active(sieve(active(sieve(mark(X511))))) :|: z = 1 + (1 + X511), X511 >= 0
   mark(z) -{ 2 }-> active(sieve(active(s(mark(X509))))) :|: X509 >= 0, z = 1 + (1 + X509)
   mark(z) -{ 2 }-> active(sieve(active(nats(mark(X510))))) :|: z = 1 + (1 + X510), X510 >= 0
   mark(z) -{ 2 }-> active(sieve(active(filter(mark(X1218), mark(X2204), mark(X3137))))) :|: X1218 >= 0, z = 1 + (1 + X1218 + X2204 + X3137), X3137 >= 0, X2204 >= 0
   mark(z) -{ 2 }-> active(sieve(active(cons(mark(X1219), X2205)))) :|: X2205 >= 0, z = 1 + (1 + X1219 + X2205), X1219 >= 0
   mark(z) -{ 2 }-> active(sieve(active(1))) :|: z = 1 + 1
   mark(z) -{ 2 }-> active(sieve(active(0))) :|: z = 1 + 0
   mark(z) -{ 1 }-> active(sieve(0)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(sieve(1 + X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 2 }-> active(s(active(sieve(mark(X4))))) :|: z = 1 + (1 + X4), X4 >= 0
   mark(z) -{ 2 }-> active(s(active(s(mark(X'))))) :|: X' >= 0, z = 1 + (1 + X')
   mark(z) -{ 2 }-> active(s(active(nats(mark(X''))))) :|: z = 1 + (1 + X''), X'' >= 0
   mark(z) -{ 2 }-> active(s(active(filter(mark(X1'), mark(X2'), mark(X3'))))) :|: X3' >= 0, X2' >= 0, X1' >= 0, z = 1 + (1 + X1' + X2' + X3')
   mark(z) -{ 2 }-> active(s(active(cons(mark(X1''), X2'')))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2''), X2'' >= 0
   mark(z) -{ 2 }-> active(s(active(1))) :|: z = 1 + 1
   mark(z) -{ 2 }-> active(s(active(0))) :|: z = 1 + 0
   mark(z) -{ 1 }-> active(s(0)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(s(1 + X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 2 }-> active(nats(active(sieve(mark(X29))))) :|: X29 >= 0, z = 1 + (1 + X29)
   mark(z) -{ 2 }-> active(nats(active(s(mark(X20))))) :|: z = 1 + (1 + X20), X20 >= 0
   mark(z) -{ 2 }-> active(nats(active(nats(mark(X27))))) :|: X27 >= 0, z = 1 + (1 + X27)
   mark(z) -{ 2 }-> active(nats(active(filter(mark(X111), mark(X28), mark(X36))))) :|: X36 >= 0, X28 >= 0, z = 1 + (1 + X111 + X28 + X36), X111 >= 0
   mark(z) -{ 2 }-> active(nats(active(cons(mark(X112), X210)))) :|: z = 1 + (1 + X112 + X210), X112 >= 0, X210 >= 0
   mark(z) -{ 2 }-> active(nats(active(1))) :|: z = 1 + 1
   mark(z) -{ 2 }-> active(nats(active(0))) :|: z = 1 + 0
   mark(z) -{ 1 }-> active(nats(0)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(nats(1 + X)) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(filter(mark(X1), mark(X2), mark(X3))) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 2 }-> active(cons(active(sieve(mark(X514))), X2)) :|: z = 1 + (1 + X514) + X2, X2 >= 0, X514 >= 0
   mark(z) -{ 2 }-> active(cons(active(s(mark(X512))), X2)) :|: z = 1 + (1 + X512) + X2, X512 >= 0, X2 >= 0
   mark(z) -{ 2 }-> active(cons(active(nats(mark(X513))), X2)) :|: X513 >= 0, X2 >= 0, z = 1 + (1 + X513) + X2
   mark(z) -{ 2 }-> active(cons(active(filter(mark(X1222), mark(X2208), mark(X3140))), X2)) :|: X2208 >= 0, X1222 >= 0, X2 >= 0, z = 1 + (1 + X1222 + X2208 + X3140) + X2, X3140 >= 0
   mark(z) -{ 2 }-> active(cons(active(cons(mark(X1223), X2209)), X2)) :|: X2209 >= 0, X1223 >= 0, X2 >= 0, z = 1 + (1 + X1223 + X2209) + X2
   mark(z) -{ 2 }-> active(cons(active(1), X2)) :|: z = 1 + 1 + X2, X2 >= 0
   mark(z) -{ 2 }-> active(cons(active(0), X2)) :|: z = 1 + 0 + X2, X2 >= 0
   mark(z) -{ 1 }-> active(cons(0, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(cons(1 + X1, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(1) :|: z = 1
   mark(z) -{ 1 }-> active(0) :|: z = 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   nats(z) -{ 1 }-> nats(X) :|: z = 1 + X, X >= 0
   nats(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   nats(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   s(z) -{ 1 }-> s(X) :|: z = 1 + X, X >= 0
   s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   s(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   sieve(z) -{ 1 }-> sieve(X) :|: z = 1 + X, X >= 0
   sieve(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   sieve(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0


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(29) SimplificationProof (BOTH BOUNDS(ID, ID))
Simplified the RNTS by moving equalities from the constraints into the right-hand sides.
----------------------------------------

(30)
Obligation:
Complexity RNTS consisting of the following rules:

   active(z) -{ 1 }-> mark(sieve(nats(s(0)))) :|: z = 1
   active(z) -{ 1 }-> mark(sieve(nats(s(1 + 0)))) :|: z = 1
   active(z) -{ 2 }-> mark(cons(X, filter(X1220, N, M))) :|: X1220 >= 0, z = 1 + (1 + X + (1 + X1220)) + (1 + N) + M, X >= 0, M >= 0, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(X1221, N, M))) :|: X >= 0, z = 1 + (1 + X + (1 + X1221)) + (1 + N) + M, M >= 0, X1221 >= 0, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(Y, N, X3138))) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + (1 + X3138), N >= 0, X3138 >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(Y, N, X3139))) :|: z = 1 + (1 + X + Y) + (1 + N) + (1 + X3139), Y >= 0, X >= 0, X3139 >= 0, N >= 0
   active(z) -{ 2 }-> mark(cons(X, filter(Y, X2206, M))) :|: X2206 >= 0, Y >= 0, X >= 0, M >= 0, z = 1 + (1 + X + Y) + (1 + (1 + X2206)) + M
   active(z) -{ 2 }-> mark(cons(X, filter(Y, X2207, M))) :|: z = 1 + (1 + X + Y) + (1 + (1 + X2207)) + M, Y >= 0, X >= 0, X2207 >= 0, M >= 0
   active(z) -{ 1 }-> mark(cons(X, 0)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + M, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(cons(X, 1 + Y + N + M)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + M, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(cons(s(N), sieve(filter(Y, N, N)))) :|: Y >= 0, z = 1 + (1 + (1 + N) + Y), N >= 0
   active(z) -{ 2 }-> mark(cons(0, sieve(z - 3))) :|: z - 3 >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(X110, M, M))) :|: X110 >= 0, X >= 0, z = 1 + (1 + X + (1 + X110)) + 0 + M, M >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(X19, M, M))) :|: z = 1 + (1 + X + (1 + X19)) + 0 + M, X19 >= 0, X >= 0, M >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(Y, X25, 1 + X25))) :|: Y >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X25), X >= 0, X25 >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(Y, X26, 1 + X26))) :|: X26 >= 0, Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X26)
   active(z) -{ 2 }-> mark(cons(0, filter(Y, 1 + X34, X34))) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X34), X34 >= 0
   active(z) -{ 2 }-> mark(cons(0, filter(Y, 1 + X35, X35))) :|: Y >= 0, z = 1 + (1 + X + Y) + 0 + (1 + X35), X >= 0, X35 >= 0
   active(z) -{ 1 }-> mark(cons(0, 0)) :|: z - 2 >= 0
   active(z) -{ 1 }-> mark(cons(0, 0)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + M, M >= 0
   active(z) -{ 1 }-> mark(cons(0, 1 + (z - 2))) :|: z - 2 >= 0
   active(z) -{ 1 }-> mark(cons(0, 1 + Y + M + M)) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + M, M >= 0
   active(z) -{ 1 }-> mark(cons(z - 1, nats(0))) :|: z - 1 >= 0
   active(z) -{ 1 }-> mark(cons(z - 1, nats(1 + (z - 1)))) :|: z - 1 >= 0
   active(z) -{ 2 }-> mark(cons(1 + (z - 2), nats(s(z - 2)))) :|: z - 2 >= 0
   active(z) -{ 0 }-> 0 :|: z >= 0
   active(z) -{ 0 }-> 1 + z :|: z >= 0
   cons(z, z') -{ 1 }-> cons(z, z' - 1) :|: z >= 0, z' - 1 >= 0
   cons(z, z') -{ 1 }-> cons(z - 1, z') :|: z - 1 >= 0, z' >= 0
   cons(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   cons(z, z') -{ 0 }-> 1 + z + z' :|: z >= 0, z' >= 0
   encArg(z) -{ 0 }-> sieve(sieve(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sieve(s(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sieve(nats(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sieve(mark(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sieve(filter(encArg(x_1876), encArg(x_2249), encArg(x_3124))) :|: z = 1 + (1 + x_1876 + x_2249 + x_3124), x_1876 >= 0, x_2249 >= 0, x_3124 >= 0
   encArg(z) -{ 0 }-> sieve(cons(encArg(x_1877), encArg(x_2250))) :|: x_2250 >= 0, x_1877 >= 0, z = 1 + (1 + x_1877 + x_2250)
   encArg(z) -{ 0 }-> sieve(active(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> sieve(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> sieve(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> sieve(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> s(sieve(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> s(s(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> s(nats(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> s(mark(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> s(filter(encArg(x_1869), encArg(x_2247), encArg(x_3123))) :|: x_3123 >= 0, x_1869 >= 0, z = 1 + (1 + x_1869 + x_2247 + x_3123), x_2247 >= 0
   encArg(z) -{ 0 }-> s(cons(encArg(x_1870), encArg(x_2248))) :|: x_2248 >= 0, z = 1 + (1 + x_1870 + x_2248), x_1870 >= 0
   encArg(z) -{ 0 }-> s(active(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> s(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> s(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> s(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> nats(sieve(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> nats(s(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> nats(nats(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> nats(mark(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> nats(filter(encArg(x_1883), encArg(x_2251), encArg(x_3125))) :|: x_2251 >= 0, x_3125 >= 0, z = 1 + (1 + x_1883 + x_2251 + x_3125), x_1883 >= 0
   encArg(z) -{ 0 }-> nats(cons(encArg(x_1884), encArg(x_2252))) :|: z = 1 + (1 + x_1884 + x_2252), x_2252 >= 0, x_1884 >= 0
   encArg(z) -{ 0 }-> nats(active(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> nats(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> nats(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> nats(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> mark(sieve(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> mark(s(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> mark(nats(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> mark(mark(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> mark(filter(encArg(x_18), encArg(x_21), encArg(x_3''))) :|: z = 1 + (1 + x_18 + x_21 + x_3''), x_18 >= 0, x_21 >= 0, x_3'' >= 0
   encArg(z) -{ 0 }-> mark(cons(encArg(x_19), encArg(x_22))) :|: z = 1 + (1 + x_19 + x_22), x_22 >= 0, x_19 >= 0
   encArg(z) -{ 0 }-> mark(active(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> mark(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> mark(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> mark(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> filter(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z = 1 + x_1 + x_2 + x_3, x_3 >= 0, x_2 >= 0
   encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> active(sieve(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> active(s(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> active(nats(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> active(mark(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> active(filter(encArg(x_11), encArg(x_2'), encArg(x_3'))) :|: x_11 >= 0, x_3' >= 0, x_2' >= 0, z = 1 + (1 + x_11 + x_2' + x_3')
   encArg(z) -{ 0 }-> active(cons(encArg(x_12), encArg(x_2''))) :|: z = 1 + (1 + x_12 + x_2''), x_2'' >= 0, x_12 >= 0
   encArg(z) -{ 0 }-> active(active(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> active(1) :|: z = 1 + 1
   encArg(z) -{ 0 }-> active(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> active(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_0 -{ 0 }-> 0 :|: 
   encode_active(z) -{ 0 }-> active(sieve(encArg(z - 1))) :|: z - 1 >= 0
   encode_active(z) -{ 0 }-> active(s(encArg(z - 1))) :|: z - 1 >= 0
   encode_active(z) -{ 0 }-> active(nats(encArg(z - 1))) :|: z - 1 >= 0
   encode_active(z) -{ 0 }-> active(mark(encArg(z - 1))) :|: z - 1 >= 0
   encode_active(z) -{ 0 }-> active(filter(encArg(x_1890), encArg(x_2253), encArg(x_3126))) :|: x_3126 >= 0, x_1890 >= 0, z = 1 + x_1890 + x_2253 + x_3126, x_2253 >= 0
   encode_active(z) -{ 0 }-> active(cons(encArg(x_1891), encArg(x_2254))) :|: z = 1 + x_1891 + x_2254, x_1891 >= 0, x_2254 >= 0
   encode_active(z) -{ 0 }-> active(active(encArg(z - 1))) :|: z - 1 >= 0
   encode_active(z) -{ 0 }-> active(1) :|: z = 1
   encode_active(z) -{ 0 }-> active(0) :|: z = 0
   encode_active(z) -{ 0 }-> active(0) :|: z >= 0
   encode_active(z) -{ 0 }-> 0 :|: z >= 0
   encode_cons(z, z') -{ 0 }-> cons(encArg(z), encArg(z')) :|: z >= 0, z' >= 0
   encode_cons(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_filter(z, z', z'') -{ 0 }-> filter(encArg(z), encArg(z'), encArg(z'')) :|: z >= 0, z'' >= 0, z' >= 0
   encode_filter(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0
   encode_mark(z) -{ 0 }-> mark(sieve(encArg(z - 1))) :|: z - 1 >= 0
   encode_mark(z) -{ 0 }-> mark(s(encArg(z - 1))) :|: z - 1 >= 0
   encode_mark(z) -{ 0 }-> mark(nats(encArg(z - 1))) :|: z - 1 >= 0
   encode_mark(z) -{ 0 }-> mark(mark(encArg(z - 1))) :|: z - 1 >= 0
   encode_mark(z) -{ 0 }-> mark(filter(encArg(x_11751), encArg(x_2499), encArg(x_3249))) :|: x_2499 >= 0, z = 1 + x_11751 + x_2499 + x_3249, x_11751 >= 0, x_3249 >= 0
   encode_mark(z) -{ 0 }-> mark(cons(encArg(x_11752), encArg(x_2500))) :|: x_2500 >= 0, x_11752 >= 0, z = 1 + x_11752 + x_2500
   encode_mark(z) -{ 0 }-> mark(active(encArg(z - 1))) :|: z - 1 >= 0
   encode_mark(z) -{ 0 }-> mark(1) :|: z = 1
   encode_mark(z) -{ 0 }-> mark(0) :|: z = 0
   encode_mark(z) -{ 0 }-> mark(0) :|: z >= 0
   encode_mark(z) -{ 0 }-> 0 :|: z >= 0
   encode_nats(z) -{ 0 }-> nats(sieve(encArg(z - 1))) :|: z - 1 >= 0
   encode_nats(z) -{ 0 }-> nats(s(encArg(z - 1))) :|: z - 1 >= 0
   encode_nats(z) -{ 0 }-> nats(nats(encArg(z - 1))) :|: z - 1 >= 0
   encode_nats(z) -{ 0 }-> nats(mark(encArg(z - 1))) :|: z - 1 >= 0
   encode_nats(z) -{ 0 }-> nats(filter(encArg(x_11772), encArg(x_2505), encArg(x_3252))) :|: x_3252 >= 0, x_11772 >= 0, x_2505 >= 0, z = 1 + x_11772 + x_2505 + x_3252
   encode_nats(z) -{ 0 }-> nats(cons(encArg(x_11773), encArg(x_2506))) :|: z = 1 + x_11773 + x_2506, x_2506 >= 0, x_11773 >= 0
   encode_nats(z) -{ 0 }-> nats(active(encArg(z - 1))) :|: z - 1 >= 0
   encode_nats(z) -{ 0 }-> nats(1) :|: z = 1
   encode_nats(z) -{ 0 }-> nats(0) :|: z = 0
   encode_nats(z) -{ 0 }-> nats(0) :|: z >= 0
   encode_nats(z) -{ 0 }-> 0 :|: z >= 0
   encode_s(z) -{ 0 }-> s(sieve(encArg(z - 1))) :|: z - 1 >= 0
   encode_s(z) -{ 0 }-> s(s(encArg(z - 1))) :|: z - 1 >= 0
   encode_s(z) -{ 0 }-> s(nats(encArg(z - 1))) :|: z - 1 >= 0
   encode_s(z) -{ 0 }-> s(mark(encArg(z - 1))) :|: z - 1 >= 0
   encode_s(z) -{ 0 }-> s(filter(encArg(x_11758), encArg(x_2501), encArg(x_3250))) :|: x_11758 >= 0, z = 1 + x_11758 + x_2501 + x_3250, x_2501 >= 0, x_3250 >= 0
   encode_s(z) -{ 0 }-> s(cons(encArg(x_11759), encArg(x_2502))) :|: x_11759 >= 0, z = 1 + x_11759 + x_2502, x_2502 >= 0
   encode_s(z) -{ 0 }-> s(active(encArg(z - 1))) :|: z - 1 >= 0
   encode_s(z) -{ 0 }-> s(1) :|: z = 1
   encode_s(z) -{ 0 }-> s(0) :|: z = 0
   encode_s(z) -{ 0 }-> s(0) :|: z >= 0
   encode_s(z) -{ 0 }-> 0 :|: z >= 0
   encode_sieve(z) -{ 0 }-> sieve(sieve(encArg(z - 1))) :|: z - 1 >= 0
   encode_sieve(z) -{ 0 }-> sieve(s(encArg(z - 1))) :|: z - 1 >= 0
   encode_sieve(z) -{ 0 }-> sieve(nats(encArg(z - 1))) :|: z - 1 >= 0
   encode_sieve(z) -{ 0 }-> sieve(mark(encArg(z - 1))) :|: z - 1 >= 0
   encode_sieve(z) -{ 0 }-> sieve(filter(encArg(x_11765), encArg(x_2503), encArg(x_3251))) :|: x_11765 >= 0, x_2503 >= 0, z = 1 + x_11765 + x_2503 + x_3251, x_3251 >= 0
   encode_sieve(z) -{ 0 }-> sieve(cons(encArg(x_11766), encArg(x_2504))) :|: x_2504 >= 0, z = 1 + x_11766 + x_2504, x_11766 >= 0
   encode_sieve(z) -{ 0 }-> sieve(active(encArg(z - 1))) :|: z - 1 >= 0
   encode_sieve(z) -{ 0 }-> sieve(1) :|: z = 1
   encode_sieve(z) -{ 0 }-> sieve(0) :|: z = 0
   encode_sieve(z) -{ 0 }-> sieve(0) :|: z >= 0
   encode_sieve(z) -{ 0 }-> 0 :|: z >= 0
   encode_zprimes -{ 0 }-> 1 :|: 
   encode_zprimes -{ 0 }-> 0 :|: 
   filter(z, z', z'') -{ 1 }-> filter(z, z', z'' - 1) :|: z >= 0, z'' - 1 >= 0, z' >= 0
   filter(z, z', z'') -{ 1 }-> filter(z, z' - 1, z'') :|: z >= 0, z'' >= 0, z' - 1 >= 0
   filter(z, z', z'') -{ 1 }-> filter(z - 1, z', z'') :|: z - 1 >= 0, z'' >= 0, z' >= 0
   filter(z, z', z'') -{ 0 }-> 0 :|: z >= 0, z' >= 0, z'' >= 0
   filter(z, z', z'') -{ 0 }-> 1 + z + z' + z'' :|: z >= 0, z' >= 0, z'' >= 0
   mark(z) -{ 2 }-> active(sieve(active(sieve(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(sieve(active(s(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(sieve(active(nats(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(sieve(active(filter(mark(X1218), mark(X2204), mark(X3137))))) :|: X1218 >= 0, z = 1 + (1 + X1218 + X2204 + X3137), X3137 >= 0, X2204 >= 0
   mark(z) -{ 2 }-> active(sieve(active(cons(mark(X1219), X2205)))) :|: X2205 >= 0, z = 1 + (1 + X1219 + X2205), X1219 >= 0
   mark(z) -{ 2 }-> active(sieve(active(1))) :|: z = 1 + 1
   mark(z) -{ 2 }-> active(sieve(active(0))) :|: z = 1 + 0
   mark(z) -{ 1 }-> active(sieve(0)) :|: z - 1 >= 0
   mark(z) -{ 1 }-> active(sieve(1 + (z - 1))) :|: z - 1 >= 0
   mark(z) -{ 2 }-> active(s(active(sieve(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(s(active(s(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(s(active(nats(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(s(active(filter(mark(X1'), mark(X2'), mark(X3'))))) :|: X3' >= 0, X2' >= 0, X1' >= 0, z = 1 + (1 + X1' + X2' + X3')
   mark(z) -{ 2 }-> active(s(active(cons(mark(X1''), X2'')))) :|: X1'' >= 0, z = 1 + (1 + X1'' + X2''), X2'' >= 0
   mark(z) -{ 2 }-> active(s(active(1))) :|: z = 1 + 1
   mark(z) -{ 2 }-> active(s(active(0))) :|: z = 1 + 0
   mark(z) -{ 1 }-> active(s(0)) :|: z - 1 >= 0
   mark(z) -{ 1 }-> active(s(1 + (z - 1))) :|: z - 1 >= 0
   mark(z) -{ 2 }-> active(nats(active(sieve(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(nats(active(s(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(nats(active(nats(mark(z - 2))))) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(nats(active(filter(mark(X111), mark(X28), mark(X36))))) :|: X36 >= 0, X28 >= 0, z = 1 + (1 + X111 + X28 + X36), X111 >= 0
   mark(z) -{ 2 }-> active(nats(active(cons(mark(X112), X210)))) :|: z = 1 + (1 + X112 + X210), X112 >= 0, X210 >= 0
   mark(z) -{ 2 }-> active(nats(active(1))) :|: z = 1 + 1
   mark(z) -{ 2 }-> active(nats(active(0))) :|: z = 1 + 0
   mark(z) -{ 1 }-> active(nats(0)) :|: z - 1 >= 0
   mark(z) -{ 1 }-> active(nats(1 + (z - 1))) :|: z - 1 >= 0
   mark(z) -{ 1 }-> active(filter(mark(X1), mark(X2), mark(X3))) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 2 }-> active(cons(active(sieve(mark(X514))), X2)) :|: z = 1 + (1 + X514) + X2, X2 >= 0, X514 >= 0
   mark(z) -{ 2 }-> active(cons(active(s(mark(X512))), X2)) :|: z = 1 + (1 + X512) + X2, X512 >= 0, X2 >= 0
   mark(z) -{ 2 }-> active(cons(active(nats(mark(X513))), X2)) :|: X513 >= 0, X2 >= 0, z = 1 + (1 + X513) + X2
   mark(z) -{ 2 }-> active(cons(active(filter(mark(X1222), mark(X2208), mark(X3140))), X2)) :|: X2208 >= 0, X1222 >= 0, X2 >= 0, z = 1 + (1 + X1222 + X2208 + X3140) + X2, X3140 >= 0
   mark(z) -{ 2 }-> active(cons(active(cons(mark(X1223), X2209)), X2)) :|: X2209 >= 0, X1223 >= 0, X2 >= 0, z = 1 + (1 + X1223 + X2209) + X2
   mark(z) -{ 2 }-> active(cons(active(1), z - 2)) :|: z - 2 >= 0
   mark(z) -{ 2 }-> active(cons(active(0), z - 1)) :|: z - 1 >= 0
   mark(z) -{ 1 }-> active(cons(0, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(cons(1 + X1, X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(1) :|: z = 1
   mark(z) -{ 1 }-> active(0) :|: z = 0
   mark(z) -{ 0 }-> 0 :|: z >= 0
   mark(z) -{ 0 }-> 1 + z :|: z >= 0
   nats(z) -{ 1 }-> nats(z - 1) :|: z - 1 >= 0
   nats(z) -{ 0 }-> 0 :|: z >= 0
   nats(z) -{ 0 }-> 1 + z :|: z >= 0
   s(z) -{ 1 }-> s(z - 1) :|: z - 1 >= 0
   s(z) -{ 0 }-> 0 :|: z >= 0
   s(z) -{ 0 }-> 1 + z :|: z >= 0
   sieve(z) -{ 1 }-> sieve(z - 1) :|: z - 1 >= 0
   sieve(z) -{ 0 }-> 0 :|: z >= 0
   sieve(z) -{ 0 }-> 1 + z :|: z >= 0


----------------------------------------

(31) CompletionProof (UPPER BOUND(ID))
The TRS is a completely defined constructor system, as every type has a constant constructor and the following rules were added:

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_filter(v0, v1, v2) -> null_encode_filter [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_s(v0) -> null_encode_s [0]
   encode_sieve(v0) -> null_encode_sieve [0]
   encode_nats(v0) -> null_encode_nats [0]
   encode_zprimes -> null_encode_zprimes [0]
   s(v0) -> null_s [0]
   nats(v0) -> null_nats [0]
   active(v0) -> null_active [0]
   filter(v0, v1, v2) -> null_filter [0]
   cons(v0, v1) -> null_cons [0]
   sieve(v0) -> null_sieve [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_filter, null_encode_cons, null_encode_0, null_encode_mark, null_encode_s, null_encode_sieve, null_encode_nats, null_encode_zprimes, null_s, null_nats, null_active, null_filter, null_cons, null_sieve, null_mark

----------------------------------------

(32)
Obligation:
Runtime Complexity Weighted TRS where all functions are completely defined. The underlying TRS is:

Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   active(zprimes) -> mark(sieve(nats(s(s(0))))) [1]
   mark(0) -> active(0) [1]
   mark(zprimes) -> active(zprimes) [1]
   filter(X1, c_active(X2), X3) -> filter(X1, X2, X3) [1]
   filter(c_mark(X1), X2, X3) -> filter(X1, X2, X3) [1]
   sieve(c_mark(X)) -> sieve(X) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   active(c_sieve(c_cons(0, Y))) -> mark(cons(0, sieve(Y))) [1]
   cons(c_mark(X1), X2) -> cons(X1, X2) [1]
   s(c_active(X)) -> s(X) [1]
   active(c_nats(N)) -> mark(cons(N, nats(s(N)))) [1]
   sieve(c_active(X)) -> sieve(X) [1]
   nats(c_active(X)) -> nats(X) [1]
   cons(X1, c_active(X2)) -> cons(X1, X2) [1]
   cons(X1, c_mark(X2)) -> cons(X1, X2) [1]
   filter(X1, c_mark(X2), X3) -> filter(X1, X2, X3) [1]
   active(c_sieve(c_cons(c_s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N)))) [1]
   filter(c_active(X1), X2, X3) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M))) [1]
   s(c_mark(X)) -> s(X) [1]
   mark(c_nats(X)) -> active(nats(mark(X))) [1]
   mark(c_filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) [1]
   mark(c_sieve(X)) -> active(sieve(mark(X))) [1]
   filter(X1, X2, c_active(X3)) -> filter(X1, X2, X3) [1]
   active(c_filter(c_cons(X, Y), c_s(N), M)) -> mark(cons(X, filter(Y, N, M))) [1]
   nats(c_mark(X)) -> nats(X) [1]
   cons(c_active(X1), X2) -> cons(X1, X2) [1]
   filter(X1, X2, c_mark(X3)) -> filter(X1, X2, X3) [1]
   mark(c_cons(X1, X2)) -> active(cons(mark(X1), X2)) [1]
   encArg(0) -> 0 [0]
   encArg(zprimes) -> zprimes [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_filter(x_1, x_2, x_3)) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_cons(x_1, x_2)) -> cons(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_sieve(x_1)) -> sieve(encArg(x_1)) [0]
   encArg(cons_nats(x_1)) -> nats(encArg(x_1)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_filter(x_1, x_2, x_3) -> filter(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_cons(x_1, x_2) -> cons(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_sieve(x_1) -> sieve(encArg(x_1)) [0]
   encode_nats(x_1) -> nats(encArg(x_1)) [0]
   encode_zprimes -> zprimes [0]
   s(x0) -> c_s(x0) [0]
   nats(x0) -> c_nats(x0) [0]
   active(x0) -> c_active(x0) [0]
   filter(x0, x1, x2) -> c_filter(x0, x1, x2) [0]
   cons(x0, x1) -> c_cons(x0, x1) [0]
   sieve(x0) -> c_sieve(x0) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_filter(v0, v1, v2) -> null_encode_filter [0]
   encode_cons(v0, v1) -> null_encode_cons [0]
   encode_0 -> null_encode_0 [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_s(v0) -> null_encode_s [0]
   encode_sieve(v0) -> null_encode_sieve [0]
   encode_nats(v0) -> null_encode_nats [0]
   encode_zprimes -> null_encode_zprimes [0]
   s(v0) -> null_s [0]
   nats(v0) -> null_nats [0]
   active(v0) -> null_active [0]
   filter(v0, v1, v2) -> null_filter [0]
   cons(v0, v1) -> null_cons [0]
   sieve(v0) -> null_sieve [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
c_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
cons_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark -> zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encArg :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_0 :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_encode_zprimes :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_s :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_nats :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_active :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_filter :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_cons :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_sieve :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark
null_mark :: zprimes:0:c_active:c_mark:c_s:c_cons:c_sieve:c_nats:c_filter:cons_active:cons_mark:cons_filter:cons_cons:cons_s:cons_sieve:cons_nats:null_encArg:null_encode_active:null_encode_filter:null_encode_cons:null_encode_0:null_encode_mark:null_encode_s:null_encode_sieve:null_encode_nats:null_encode_zprimes:null_s:null_nats:null_active:null_filter:null_cons:null_sieve:null_mark

Rewrite Strategy: INNERMOST
----------------------------------------

(33) CpxTypedWeightedTrsToRntsProof (UPPER BOUND(ID))
Transformed the TRS into an over-approximating RNTS by (improved) Size Abstraction.
The constant constructors are abstracted as follows:

   zprimes => 1
   0 => 0
   null_encArg => 0
   null_encode_active => 0
   null_encode_filter => 0
   null_encode_cons => 0
   null_encode_0 => 0
   null_encode_mark => 0
   null_encode_s => 0
   null_encode_sieve => 0
   null_encode_nats => 0
   null_encode_zprimes => 0
   null_s => 0
   null_nats => 0
   null_active => 0
   null_filter => 0
   null_cons => 0
   null_sieve => 0
   null_mark => 0

----------------------------------------

(34)
Obligation:
Complexity RNTS consisting of the following rules:

   active(z) -{ 1 }-> mark(sieve(nats(s(s(0))))) :|: z = 1
   active(z) -{ 1 }-> mark(cons(N, nats(s(N)))) :|: z = 1 + N, N >= 0
   active(z) -{ 1 }-> mark(cons(X, filter(Y, N, M))) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + (1 + N) + M, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(cons(s(N), sieve(filter(Y, N, N)))) :|: Y >= 0, z = 1 + (1 + (1 + N) + Y), N >= 0
   active(z) -{ 1 }-> mark(cons(0, sieve(Y))) :|: z = 1 + (1 + 0 + Y), Y >= 0
   active(z) -{ 1 }-> mark(cons(0, filter(Y, M, M))) :|: Y >= 0, X >= 0, z = 1 + (1 + X + Y) + 0 + M, M >= 0
   active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   cons(z, z') -{ 1 }-> cons(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   cons(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   encArg(z) -{ 0 }-> sieve(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> s(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> nats(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> mark(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> filter(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, z = 1 + x_1 + x_2 + x_3, x_3 >= 0, x_2 >= 0
   encArg(z) -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> active(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0 -{ 0 }-> 0 :|: 
   encode_active(z) -{ 0 }-> active(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_cons(z, z') -{ 0 }-> cons(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_cons(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_filter(z, z', z'') -{ 0 }-> filter(encArg(x_1), encArg(x_2), encArg(x_3)) :|: x_1 >= 0, x_3 >= 0, x_2 >= 0, z = x_1, z' = x_2, z'' = x_3
   encode_filter(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   encode_mark(z) -{ 0 }-> mark(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_nats(z) -{ 0 }-> nats(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_nats(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_s(z) -{ 0 }-> s(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_sieve(z) -{ 0 }-> sieve(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_sieve(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_zprimes -{ 0 }-> 1 :|: 
   encode_zprimes -{ 0 }-> 0 :|: 
   filter(z, z', z'') -{ 1 }-> filter(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   filter(z, z', z'') -{ 1 }-> filter(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   filter(z, z', z'') -{ 1 }-> filter(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   filter(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   filter(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   mark(z) -{ 1 }-> active(sieve(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(s(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(nats(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(filter(mark(X1), mark(X2), mark(X3))) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 1 }-> active(cons(mark(X1), X2)) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(1) :|: z = 1
   mark(z) -{ 1 }-> active(0) :|: z = 0
   mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   mark(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   nats(z) -{ 1 }-> nats(X) :|: z = 1 + X, X >= 0
   nats(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   nats(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   s(z) -{ 1 }-> s(X) :|: z = 1 + X, X >= 0
   s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   s(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   sieve(z) -{ 1 }-> sieve(X) :|: z = 1 + X, X >= 0
   sieve(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   sieve(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0

Only complete derivations are relevant for the runtime complexity.

----------------------------------------

(35) CpxTrsToCdtProof (UPPER BOUND(ID))
Converted Cpx (relative) TRS to CDT
----------------------------------------

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_filter(z0, z1, z2) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_mark(z0) -> mark(encArg(z0))
   encode_s(z0) -> s(encArg(z0))
   encode_sieve(z0) -> sieve(encArg(z0))
   encode_nats(z0) -> nats(encArg(z0))
   encode_zprimes -> zprimes
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(0) -> c
   ENCARG(zprimes) -> c1
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c9(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c10(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_CONS(z0, z1) -> c11(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_0 -> c12
   ENCODE_MARK(z0) -> c13(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_S(z0) -> c14(S(encArg(z0)), ENCARG(z0))
   ENCODE_SIEVE(z0) -> c15(SIEVE(encArg(z0)), ENCARG(z0))
   ENCODE_NATS(z0) -> c16(NATS(encArg(z0)), ENCARG(z0))
   ENCODE_ZPRIMES -> c17
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), CONS(0, filter(z1, z2, z2)), FILTER(z1, z2, z2))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), CONS(0, sieve(z0)), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), CONS(s(z0), sieve(filter(z1, z0, z0))), S(z0), SIEVE(filter(z1, z0, z0)), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), CONS(z0, nats(s(z0))), NATS(s(z0)), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))), SIEVE(nats(s(s(0)))), NATS(s(s(0))), S(s(0)), S(0))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c26(ACTIVE(0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
S tuples:
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), CONS(0, filter(z1, z2, z2)), FILTER(z1, z2, z2))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), CONS(0, sieve(z0)), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), CONS(s(z0), sieve(filter(z1, z0, z0))), S(z0), SIEVE(filter(z1, z0, z0)), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), CONS(z0, nats(s(z0))), NATS(s(z0)), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))), SIEVE(nats(s(s(0)))), NATS(s(s(0))), S(s(0)), S(0))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c26(ACTIVE(0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1, encArg_1, encode_active_1, encode_filter_3, encode_cons_2, encode_0, encode_mark_1, encode_s_1, encode_sieve_1, encode_nats_1, encode_zprimes

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_0, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCODE_ZPRIMES, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1

Compound Symbols:   c, c1, c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c9_2, c10_4, c11_3, c12, c13_2, c14_2, c15_2, c16_2, c17, c18_3, c19_3, c20_3, c21_5, c22_4, c23_5, c24_5, c25_3, c26_1, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1


----------------------------------------

(37) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(zprimes) -> c1
   ENCARG(0) -> c
   ENCODE_ZPRIMES -> c17
   ENCODE_0 -> c12

----------------------------------------

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_filter(z0, z1, z2) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_mark(z0) -> mark(encArg(z0))
   encode_s(z0) -> s(encArg(z0))
   encode_sieve(z0) -> sieve(encArg(z0))
   encode_nats(z0) -> nats(encArg(z0))
   encode_zprimes -> zprimes
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c9(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c10(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_CONS(z0, z1) -> c11(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_MARK(z0) -> c13(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_S(z0) -> c14(S(encArg(z0)), ENCARG(z0))
   ENCODE_SIEVE(z0) -> c15(SIEVE(encArg(z0)), ENCARG(z0))
   ENCODE_NATS(z0) -> c16(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), CONS(0, filter(z1, z2, z2)), FILTER(z1, z2, z2))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), CONS(0, sieve(z0)), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), CONS(s(z0), sieve(filter(z1, z0, z0))), S(z0), SIEVE(filter(z1, z0, z0)), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), CONS(z0, nats(s(z0))), NATS(s(z0)), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))), SIEVE(nats(s(s(0)))), NATS(s(s(0))), S(s(0)), S(0))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c26(ACTIVE(0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
S tuples:
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), CONS(0, filter(z1, z2, z2)), FILTER(z1, z2, z2))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), CONS(0, sieve(z0)), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), CONS(s(z0), sieve(filter(z1, z0, z0))), S(z0), SIEVE(filter(z1, z0, z0)), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), CONS(z0, nats(s(z0))), NATS(s(z0)), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))), SIEVE(nats(s(s(0)))), NATS(s(s(0))), S(s(0)), S(0))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(0) -> c26(ACTIVE(0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1, encArg_1, encode_active_1, encode_filter_3, encode_cons_2, encode_0, encode_mark_1, encode_s_1, encode_sieve_1, encode_nats_1, encode_zprimes

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c9_2, c10_4, c11_3, c13_2, c14_2, c15_2, c16_2, c18_3, c19_3, c20_3, c21_5, c22_4, c23_5, c24_5, c25_3, c26_1, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1


----------------------------------------

(39) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 11 trailing tuple parts
----------------------------------------

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_filter(z0, z1, z2) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_mark(z0) -> mark(encArg(z0))
   encode_s(z0) -> s(encArg(z0))
   encode_sieve(z0) -> sieve(encArg(z0))
   encode_nats(z0) -> nats(encArg(z0))
   encode_zprimes -> zprimes
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ENCODE_ACTIVE(z0) -> c9(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c10(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_CONS(z0, z1) -> c11(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_MARK(z0) -> c13(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_S(z0) -> c14(S(encArg(z0)), ENCARG(z0))
   ENCODE_SIEVE(z0) -> c15(SIEVE(encArg(z0)), ENCARG(z0))
   ENCODE_NATS(z0) -> c16(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1, encArg_1, encode_active_1, encode_filter_3, encode_cons_2, encode_0, encode_mark_1, encode_s_1, encode_sieve_1, encode_nats_1, encode_zprimes

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c9_2, c10_4, c11_3, c13_2, c14_2, c15_2, c16_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26


----------------------------------------

(41) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_filter(z0, z1, z2) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_mark(z0) -> mark(encArg(z0))
   encode_s(z0) -> s(encArg(z0))
   encode_sieve(z0) -> sieve(encArg(z0))
   encode_nats(z0) -> nats(encArg(z0))
   encode_zprimes -> zprimes
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_FILTER(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_FILTER(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z1))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(ENCARG(z0))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCODE_NATS(z0) -> c(ENCARG(z0))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1, encArg_1, encode_active_1, encode_filter_3, encode_cons_2, encode_0, encode_mark_1, encode_s_1, encode_sieve_1, encode_nats_1, encode_zprimes

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1


----------------------------------------

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 10 leading nodes:
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_FILTER(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_FILTER(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z0))
   ENCODE_CONS(z0, z1) -> c(ENCARG(z1))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_SIEVE(z0) -> c(ENCARG(z0))
   ENCODE_NATS(z0) -> c(ENCARG(z0))

----------------------------------------

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   encode_active(z0) -> active(encArg(z0))
   encode_filter(z0, z1, z2) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_mark(z0) -> mark(encArg(z0))
   encode_s(z0) -> s(encArg(z0))
   encode_sieve(z0) -> sieve(encArg(z0))
   encode_nats(z0) -> nats(encArg(z0))
   encode_zprimes -> zprimes
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1, encArg_1, encode_active_1, encode_filter_3, encode_cons_2, encode_0, encode_mark_1, encode_s_1, encode_sieve_1, encode_nats_1, encode_zprimes

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1


----------------------------------------

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_active(z0) -> active(encArg(z0))
   encode_filter(z0, z1, z2) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encode_cons(z0, z1) -> cons(encArg(z0), encArg(z1))
   encode_0 -> 0
   encode_mark(z0) -> mark(encArg(z0))
   encode_s(z0) -> s(encArg(z0))
   encode_sieve(z0) -> sieve(encArg(z0))
   encode_nats(z0) -> nats(encArg(z0))
   encode_zprimes -> zprimes

----------------------------------------

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c2_2, c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1


----------------------------------------

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes), ENCARG(zprimes))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))

----------------------------------------

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes), ENCARG(zprimes))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2


----------------------------------------

(49) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))

----------------------------------------

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes), ENCARG(zprimes))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2


----------------------------------------

(51) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c3_2, c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1


----------------------------------------

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_mark(0)) -> c3(MARK(0), ENCARG(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes), ENCARG(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))

----------------------------------------

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(0)) -> c3(MARK(0), ENCARG(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes), ENCARG(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2


----------------------------------------

(55) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing tuple parts
----------------------------------------

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c4_4, c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1


----------------------------------------

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(z0, z1, z2)) -> c4(FILTER(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1), ENCARG(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(zprimes), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(zprimes), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))

----------------------------------------

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1), ENCARG(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(zprimes), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(zprimes), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4


----------------------------------------

(59) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c5_3, c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3


----------------------------------------

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_cons(z0, z1)) -> c5(CONS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0), ENCARG(zprimes))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(zprimes), ENCARG(x1))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))

----------------------------------------

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0), ENCARG(zprimes))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(zprimes), ENCARG(x1))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3


----------------------------------------

(63) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c6_2, c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2


----------------------------------------

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_s(0)) -> c6(S(0), ENCARG(0))
   ENCARG(cons_s(zprimes)) -> c6(S(zprimes), ENCARG(zprimes))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))

----------------------------------------

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(0)) -> c6(S(0), ENCARG(0))
   ENCARG(cons_s(zprimes)) -> c6(S(zprimes), ENCARG(zprimes))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2


----------------------------------------

(67) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_s(0)) -> c6(S(0), ENCARG(0))
   ENCARG(cons_s(zprimes)) -> c6(S(zprimes), ENCARG(zprimes))

----------------------------------------

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c7_2, c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2


----------------------------------------

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_sieve(z0)) -> c7(SIEVE(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_sieve(0)) -> c7(SIEVE(0), ENCARG(0))
   ENCARG(cons_sieve(zprimes)) -> c7(SIEVE(zprimes), ENCARG(zprimes))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))

----------------------------------------

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(0)) -> c7(SIEVE(0), ENCARG(0))
   ENCARG(cons_sieve(zprimes)) -> c7(SIEVE(zprimes), ENCARG(zprimes))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2


----------------------------------------

(71) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_sieve(zprimes)) -> c7(SIEVE(zprimes), ENCARG(zprimes))
   ENCARG(cons_sieve(0)) -> c7(SIEVE(0), ENCARG(0))

----------------------------------------

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0))
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c8_2, c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2


----------------------------------------

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_nats(z0)) -> c8(NATS(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_nats(0)) -> c8(NATS(0), ENCARG(0))
   ENCARG(cons_nats(zprimes)) -> c8(NATS(zprimes), ENCARG(zprimes))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))

----------------------------------------

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(0)) -> c8(NATS(0), ENCARG(0))
   ENCARG(cons_nats(zprimes)) -> c8(NATS(zprimes), ENCARG(zprimes))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2


----------------------------------------

(75) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_nats(zprimes)) -> c8(NATS(zprimes), ENCARG(zprimes))
   ENCARG(cons_nats(0)) -> c8(NATS(0), ENCARG(0))

----------------------------------------

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c24_5, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2


----------------------------------------

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(filter(z0, z1, z2)) -> c24(ACTIVE(filter(mark(z0), mark(z1), mark(z2))), FILTER(mark(z0), mark(z1), mark(z2)), MARK(z0), MARK(z1), MARK(z2)) by 
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))

----------------------------------------

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c25_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5


----------------------------------------

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(cons(z0, z1)) -> c25(ACTIVE(cons(mark(z0), z1)), CONS(mark(z0), z1), MARK(z0)) by 
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))

----------------------------------------

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(z0, z1)) -> c25(ACTIVE(cons(z0, z1)), CONS(mark(z0), z1), MARK(z0))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1


----------------------------------------

(81) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c27_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2


----------------------------------------

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(s(z0)) -> c27(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) by 
   MARK(s(z0)) -> c27(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))

----------------------------------------

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(z0)) -> c27(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3


----------------------------------------

(85) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing tuple parts
----------------------------------------

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c28_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2


----------------------------------------

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(sieve(z0)) -> c28(ACTIVE(sieve(mark(z0))), SIEVE(mark(z0)), MARK(z0)) by 
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))

----------------------------------------

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c29_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3


----------------------------------------

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(nats(z0)) -> c29(ACTIVE(nats(mark(z0))), NATS(mark(z0)), MARK(z0)) by 
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))

----------------------------------------

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) by 
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(zprimes) -> c(ACTIVE(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))

----------------------------------------

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(zprimes) -> c(ACTIVE(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(93) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_ACTIVE(zprimes) -> c(ACTIVE(zprimes))
Removed 1 trailing nodes:
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))

----------------------------------------

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(95) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_FILTER(z0, z1, z2) -> c(FILTER(encArg(z0), encArg(z1), encArg(z2))) by 
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))

----------------------------------------

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_CONS(z0, z1) -> c(CONS(encArg(z0), encArg(z1))) by 
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))

----------------------------------------

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_MARK(z0) -> c(MARK(encArg(z0))) by 
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(zprimes) -> c(MARK(zprimes))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))

----------------------------------------

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(zprimes) -> c(MARK(zprimes))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(101) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_MARK(zprimes) -> c(MARK(zprimes))
   ENCODE_MARK(0) -> c(MARK(0))

----------------------------------------

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_S(z0) -> c(S(encArg(z0))) by 
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(zprimes) -> c(S(zprimes))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))

----------------------------------------

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(zprimes) -> c(S(zprimes))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(105) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(zprimes) -> c(S(zprimes))

----------------------------------------

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0)))
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_SIEVE_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(107) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_SIEVE(z0) -> c(SIEVE(encArg(z0))) by 
   ENCODE_SIEVE(0) -> c(SIEVE(0))
   ENCODE_SIEVE(zprimes) -> c(SIEVE(zprimes))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))

----------------------------------------

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(0) -> c(SIEVE(0))
   ENCODE_SIEVE(zprimes) -> c(SIEVE(zprimes))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(109) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCODE_SIEVE(0) -> c(SIEVE(0))
   ENCODE_SIEVE(zprimes) -> c(SIEVE(zprimes))

----------------------------------------

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCODE_NATS(z0) -> c(NATS(encArg(z0)))
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCODE_NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c_1, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3


----------------------------------------

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_NATS(z0) -> c(NATS(encArg(z0))) by 
   ENCODE_NATS(0) -> c(NATS(0))
   ENCODE_NATS(zprimes) -> c(NATS(zprimes))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))

----------------------------------------

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(0) -> c(NATS(0))
   ENCODE_NATS(zprimes) -> c(NATS(zprimes))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1


----------------------------------------

(113) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCODE_NATS(0) -> c(NATS(0))
   ENCODE_NATS(zprimes) -> c(NATS(zprimes))

----------------------------------------

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1


----------------------------------------

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_active(z0))) -> c2(ACTIVE(active(encArg(z0))), ENCARG(cons_active(z0))) by 
   ENCARG(cons_active(cons_active(0))) -> c2(ACTIVE(active(0)), ENCARG(cons_active(0)))
   ENCARG(cons_active(cons_active(zprimes))) -> c2(ACTIVE(active(zprimes)), ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))

----------------------------------------

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(0))) -> c2(ACTIVE(active(0)), ENCARG(cons_active(0)))
   ENCARG(cons_active(cons_active(zprimes))) -> c2(ACTIVE(active(zprimes)), ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1


----------------------------------------

(117) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCARG(cons_active(cons_active(0))) -> c2(ACTIVE(active(0)), ENCARG(cons_active(0)))

----------------------------------------

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c2(ACTIVE(active(zprimes)), ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1


----------------------------------------

(119) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1


----------------------------------------

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0))) by 
   ENCARG(cons_active(cons_mark(0))) -> c2(ACTIVE(mark(0)), ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c2(ACTIVE(mark(zprimes)), ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))

----------------------------------------

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(0))) -> c2(ACTIVE(mark(0)), ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c2(ACTIVE(mark(zprimes)), ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1


----------------------------------------

(123) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_filter(z0, z1, z2))) -> c2(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2))) by 
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))

----------------------------------------

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_cons(z0, z1))) -> c2(ACTIVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1))) by 
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))

----------------------------------------

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0))) by 
   ENCARG(cons_active(cons_s(0))) -> c2(ACTIVE(s(0)), ENCARG(cons_s(0)))
   ENCARG(cons_active(cons_s(zprimes))) -> c2(ACTIVE(s(zprimes)), ENCARG(cons_s(zprimes)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))

----------------------------------------

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(0))) -> c2(ACTIVE(s(0)), ENCARG(cons_s(0)))
   ENCARG(cons_active(cons_s(zprimes))) -> c2(ACTIVE(s(zprimes)), ENCARG(cons_s(zprimes)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(131) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_active(cons_s(0))) -> c2(ACTIVE(s(0)), ENCARG(cons_s(0)))
   ENCARG(cons_active(cons_s(zprimes))) -> c2(ACTIVE(s(zprimes)), ENCARG(cons_s(zprimes)))

----------------------------------------

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


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(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_sieve(z0))) -> c2(ACTIVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0))) by 
   ENCARG(cons_active(cons_sieve(0))) -> c2(ACTIVE(sieve(0)), ENCARG(cons_sieve(0)))
   ENCARG(cons_active(cons_sieve(zprimes))) -> c2(ACTIVE(sieve(zprimes)), ENCARG(cons_sieve(zprimes)))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))

----------------------------------------

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(0))) -> c2(ACTIVE(sieve(0)), ENCARG(cons_sieve(0)))
   ENCARG(cons_active(cons_sieve(zprimes))) -> c2(ACTIVE(sieve(zprimes)), ENCARG(cons_sieve(zprimes)))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


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(135) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_active(cons_sieve(0))) -> c2(ACTIVE(sieve(0)), ENCARG(cons_sieve(0)))
   ENCARG(cons_active(cons_sieve(zprimes))) -> c2(ACTIVE(sieve(zprimes)), ENCARG(cons_sieve(zprimes)))

----------------------------------------

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(137) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_mark(cons_active(z0))) -> c3(MARK(active(encArg(z0))), ENCARG(cons_active(z0))) by 
   ENCARG(cons_mark(cons_active(0))) -> c3(MARK(active(0)), ENCARG(cons_active(0)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c3(MARK(active(zprimes)), ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))

----------------------------------------

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(0))) -> c3(MARK(active(0)), ENCARG(cons_active(0)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c3(MARK(active(zprimes)), ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(139) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCARG(cons_mark(cons_active(0))) -> c3(MARK(active(0)), ENCARG(cons_active(0)))

----------------------------------------

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c3(MARK(active(zprimes)), ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1


----------------------------------------

(141) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1


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(143) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_mark(cons_mark(z0))) -> c3(MARK(mark(encArg(z0))), ENCARG(cons_mark(z0))) by 
   ENCARG(cons_mark(cons_mark(0))) -> c3(MARK(mark(0)), ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c3(MARK(mark(zprimes)), ENCARG(cons_mark(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))

----------------------------------------

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(0))) -> c3(MARK(mark(0)), ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c3(MARK(mark(zprimes)), ENCARG(cons_mark(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1


----------------------------------------

(145) CdtGraphSplitRhsProof (BOTH BOUNDS(ID, ID))
Split RHS of tuples not part of any SCC
----------------------------------------

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(147) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(z0, z1, z2))) by 
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(0), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))

----------------------------------------

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(0), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(149) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(151) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(z0, z1))) by 
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(0), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))

----------------------------------------

(152)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(0), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(153) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(154)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


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(155) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, x1, cons_s(z0))) -> c4(FILTER(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0))) by 
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(0)))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(0), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))

----------------------------------------

(156)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(0)))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(0), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(157) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(158)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


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(159) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, x1, cons_sieve(z0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(z0))) by 
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(0), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))

----------------------------------------

(160)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(0)))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(0), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(161) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(162)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(163) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, x1, cons_nats(z0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(z0))) by 
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(0)))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(0), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))

----------------------------------------

(164)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(0)))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(zprimes), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(0), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(zprimes), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(165) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(166)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


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(167) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x2)) by 
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_s(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), s(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_sieve(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_nats(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(zprimes), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))

----------------------------------------

(168)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(zprimes), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(169) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(170)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(171) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(x2)) by 
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_s(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), s(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_sieve(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_nats(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(0), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(zprimes), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))

----------------------------------------

(172)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(0), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(zprimes), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(173) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(174)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(175) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, cons_s(z0), x2)) -> c4(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2)) by 
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), s(encArg(x1)), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), s(encArg(x1)), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_s(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_sieve(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_nats(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(cons_s(0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(cons_s(zprimes)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(0), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(zprimes), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))

----------------------------------------

(176)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(cons_s(0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(cons_s(zprimes)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(0), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(zprimes), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(177) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(178)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


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(179) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, cons_sieve(z0), x2)) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(x2)) by 
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_s(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), s(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_sieve(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_nats(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(zprimes)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(0), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(zprimes), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))

----------------------------------------

(180)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(zprimes)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(0), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(zprimes), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(181) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(182)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


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(183) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(x0, cons_nats(z0), x2)) -> c4(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(x2)) by 
   ENCARG(cons_filter(x0, cons_nats(x1), 0)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_nats(x1), zprimes)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_filter(z0, z1, z2))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_cons(z0, z1))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_s(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), s(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_sieve(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_nats(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(x0, cons_nats(0), x2)) -> c4(FILTER(encArg(x0), nats(0), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(zprimes), x2)) -> c4(FILTER(encArg(x0), nats(zprimes), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(zprimes)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), nats(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), nats(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), nats(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), nats(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), nats(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), nats(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), nats(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(0, cons_nats(x1), x2)) -> c4(FILTER(0, nats(encArg(x1)), encArg(x2)), ENCARG(0), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_nats(x1), x2)) -> c4(FILTER(zprimes, nats(encArg(x1)), encArg(x2)), ENCARG(zprimes), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_nats(x1), x2)) -> c4(FILTER(active(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_nats(x1), x2)) -> c4(FILTER(mark(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_nats(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_nats(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_nats(x1), x2)) -> c4(FILTER(s(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_nats(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_nats(x1), x2)) -> c4(FILTER(nats(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))

----------------------------------------

(184)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), 0)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(0))
   ENCARG(cons_filter(x0, cons_nats(x1), zprimes)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(zprimes))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_nats(0), x2)) -> c4(FILTER(encArg(x0), nats(0), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(zprimes), x2)) -> c4(FILTER(encArg(x0), nats(zprimes), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(zprimes)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), nats(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), nats(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), nats(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), nats(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), nats(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), nats(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), nats(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(0, cons_nats(x1), x2)) -> c4(FILTER(0, nats(encArg(x1)), encArg(x2)), ENCARG(0), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_nats(x1), x2)) -> c4(FILTER(zprimes, nats(encArg(x1)), encArg(x2)), ENCARG(zprimes), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_nats(x1), x2)) -> c4(FILTER(active(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_nats(x1), x2)) -> c4(FILTER(mark(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_nats(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_nats(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_nats(x1), x2)) -> c4(FILTER(s(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_nats(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_nats(x1), x2)) -> c4(FILTER(nats(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(185) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing tuple parts
----------------------------------------

(186)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_nats(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), nats(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), nats(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), nats(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), nats(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), nats(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), nats(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), nats(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_nats(x1), x2)) -> c4(FILTER(active(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_nats(x1), x2)) -> c4(FILTER(mark(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_nats(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_nats(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_nats(x1), x2)) -> c4(FILTER(s(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_nats(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_nats(x1), x2)) -> c4(FILTER(nats(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), 0)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_nats(x1)))
   ENCARG(cons_filter(x0, cons_nats(x1), zprimes)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_nats(x1)))
   ENCARG(cons_filter(x0, cons_nats(0), x2)) -> c4(FILTER(encArg(x0), nats(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(zprimes), x2)) -> c4(FILTER(encArg(x0), nats(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_nats(x1), x2)) -> c4(FILTER(0, nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_nats(x1), x2)) -> c4(FILTER(zprimes, nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(x1)), ENCARG(x2))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(187) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(x2)) by 
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, 0)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), 0), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(0))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, zprimes)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), zprimes), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(zprimes))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_active(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), active(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_mark(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), mark(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_filter(z0, z1, z2))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_cons(z0, z1))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), cons(encArg(z0), encArg(z1))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_s(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), s(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_s(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_sieve(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), sieve(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_sieve(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_nats(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), nats(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_nats(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), 0, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), 0, encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(0), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), zprimes, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), zprimes, encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(zprimes), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_active(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), active(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_active(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_mark(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), mark(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_mark(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_filter(z0, z1, z2), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_cons(z0, z1), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), cons(encArg(z0), encArg(z1)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_s(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), s(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_s(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_sieve(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), sieve(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_sieve(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_nats(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), nats(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_nats(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, 0), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), 0), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, 0)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, zprimes), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), zprimes), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, zprimes)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_active(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), active(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_active(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_mark(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), mark(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_mark(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_filter(z0, z1, z2)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_cons(z0, z1)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_s(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), s(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_s(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_sieve(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), sieve(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_sieve(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_nats(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), nats(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_nats(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, 0, x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), 0, encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, 0, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, zprimes, x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), zprimes, encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, zprimes, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_active(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), active(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_active(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_mark(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), mark(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_mark(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_filter(z0, z1, z2), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_cons(z0, z1), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_s(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), s(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_s(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_sieve(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), sieve(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_sieve(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_nats(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), nats(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_nats(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(0, x1, x2), x3, x4)) -> c4(FILTER(filter(0, encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(0, x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(zprimes, x1, x2), x3, x4)) -> c4(FILTER(filter(zprimes, encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(zprimes, x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_active(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(active(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_active(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_mark(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(mark(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_mark(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_filter(z0, z1, z2), x1, x2), x3, x4)) -> c4(FILTER(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_cons(z0, z1), x1, x2), x3, x4)) -> c4(FILTER(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_s(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(s(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_s(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_sieve(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(sieve(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_sieve(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_nats(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(nats(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_nats(z0), x1, x2)), ENCARG(x3), ENCARG(x4))

----------------------------------------

(188)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_nats(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), nats(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), nats(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), nats(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), nats(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), nats(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), nats(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), nats(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_nats(x1), x2)) -> c4(FILTER(active(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_nats(x1), x2)) -> c4(FILTER(mark(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_nats(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_nats(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_nats(x1), x2)) -> c4(FILTER(s(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_nats(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_nats(x1), x2)) -> c4(FILTER(nats(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), 0)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_nats(x1)))
   ENCARG(cons_filter(x0, cons_nats(x1), zprimes)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_nats(x1)))
   ENCARG(cons_filter(x0, cons_nats(0), x2)) -> c4(FILTER(encArg(x0), nats(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(zprimes), x2)) -> c4(FILTER(encArg(x0), nats(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_nats(x1), x2)) -> c4(FILTER(0, nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_nats(x1), x2)) -> c4(FILTER(zprimes, nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, 0)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), 0), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(0))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, zprimes)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), zprimes), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(zprimes))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_active(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), active(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_mark(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), mark(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), 0, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), 0, encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(0), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), zprimes, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), zprimes, encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(zprimes), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_active(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), active(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_active(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_mark(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), mark(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_mark(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, 0), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), 0), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, 0)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, zprimes), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), zprimes), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, zprimes)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_active(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), active(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_active(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_mark(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), mark(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_mark(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_filter(z0, z1, z2)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_cons(z0, z1)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_s(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), s(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_s(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_sieve(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), sieve(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_sieve(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_nats(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), nats(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_nats(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, 0, x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), 0, encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, 0, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, zprimes, x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), zprimes, encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, zprimes, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_active(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), active(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_active(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_mark(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), mark(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_mark(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_filter(z0, z1, z2), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_cons(z0, z1), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_s(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), s(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_s(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_sieve(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), sieve(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_sieve(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_nats(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), nats(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_nats(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(0, x1, x2), x3, x4)) -> c4(FILTER(filter(0, encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(0, x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(zprimes, x1, x2), x3, x4)) -> c4(FILTER(filter(zprimes, encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(zprimes, x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_active(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(active(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_active(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_mark(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(mark(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_mark(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_filter(z0, z1, z2), x1, x2), x3, x4)) -> c4(FILTER(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_cons(z0, z1), x1, x2), x3, x4)) -> c4(FILTER(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_s(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(s(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_s(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_sieve(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(sieve(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_sieve(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_nats(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(nats(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_nats(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1


----------------------------------------

(189) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing tuple parts
----------------------------------------

(190)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(0) -> 0
   encArg(zprimes) -> zprimes
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_filter(z0, z1, z2)) -> filter(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_cons(z0, z1)) -> cons(encArg(z0), encArg(z1))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_sieve(z0)) -> sieve(encArg(z0))
   encArg(cons_nats(z0)) -> nats(encArg(z0))
   active(filter(cons(z0, z1), 0, z2)) -> mark(cons(0, filter(z1, z2, z2)))
   active(filter(cons(z0, z1), s(z2), z3)) -> mark(cons(z0, filter(z1, z2, z3)))
   active(sieve(cons(0, z0))) -> mark(cons(0, sieve(z0)))
   active(sieve(cons(s(z0), z1))) -> mark(cons(s(z0), sieve(filter(z1, z0, z0))))
   active(nats(z0)) -> mark(cons(z0, nats(s(z0))))
   active(zprimes) -> mark(sieve(nats(s(s(0)))))
   mark(filter(z0, z1, z2)) -> active(filter(mark(z0), mark(z1), mark(z2)))
   mark(cons(z0, z1)) -> active(cons(mark(z0), z1))
   mark(0) -> active(0)
   mark(s(z0)) -> active(s(mark(z0)))
   mark(sieve(z0)) -> active(sieve(mark(z0)))
   mark(nats(z0)) -> active(nats(mark(z0)))
   mark(zprimes) -> active(zprimes)
   filter(mark(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, mark(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, mark(z2)) -> filter(z0, z1, z2)
   filter(active(z0), z1, z2) -> filter(z0, z1, z2)
   filter(z0, active(z1), z2) -> filter(z0, z1, z2)
   filter(z0, z1, active(z2)) -> filter(z0, z1, z2)
   cons(mark(z0), z1) -> cons(z0, z1)
   cons(z0, mark(z1)) -> cons(z0, z1)
   cons(active(z0), z1) -> cons(z0, z1)
   cons(z0, active(z1)) -> cons(z0, z1)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   sieve(mark(z0)) -> sieve(z0)
   sieve(active(z0)) -> sieve(z0)
   nats(mark(z0)) -> nats(z0)
   nats(active(z0)) -> nats(z0)
Tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   ENCARG(cons_active(cons_nats(z0))) -> c2(ACTIVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_active(zprimes)) -> c2(ACTIVE(zprimes))
   ENCARG(cons_mark(cons_filter(z0, z1, z2))) -> c3(MARK(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_mark(cons_cons(z0, z1))) -> c3(MARK(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_sieve(z0))) -> c3(MARK(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_mark(cons_nats(z0))) -> c3(MARK(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_mark(zprimes)) -> c3(MARK(zprimes))
   ENCARG(cons_filter(x0, x1, cons_active(z0))) -> c4(FILTER(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, x1, cons_mark(z0))) -> c4(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_active(z0), x2)) -> c4(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_mark(z0), x2)) -> c4(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), x1, x2)) -> c4(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), x1, x2)) -> c4(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), x1, x2)) -> c4(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), x1, x2)) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), x1, x2)) -> c4(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(x0, x1, 0)) -> c4(FILTER(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, zprimes)) -> c4(FILTER(encArg(x0), encArg(x1), zprimes), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, x2)) -> c4(FILTER(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, zprimes, x2)) -> c4(FILTER(encArg(x0), zprimes, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, x1, x2)) -> c4(FILTER(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_filter(zprimes, x1, x2)) -> c4(FILTER(zprimes, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_cons(x0, cons_active(z0))) -> c5(CONS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_cons(x0, cons_mark(z0))) -> c5(CONS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))) -> c5(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_cons(x0, cons_cons(z0, z1))) -> c5(CONS(encArg(x0), cons(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_cons(x0, cons_s(z0))) -> c5(CONS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_cons(x0, cons_sieve(z0))) -> c5(CONS(encArg(x0), sieve(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(z0)))
   ENCARG(cons_cons(x0, cons_nats(z0))) -> c5(CONS(encArg(x0), nats(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(z0)))
   ENCARG(cons_cons(cons_active(z0), x1)) -> c5(CONS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_mark(z0), x1)) -> c5(CONS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)) -> c5(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_cons(cons_cons(z0, z1), x1)) -> c5(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_cons(z0, z1)), ENCARG(x1))
   ENCARG(cons_cons(cons_s(z0), x1)) -> c5(CONS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_sieve(z0), x1)) -> c5(CONS(sieve(encArg(z0)), encArg(x1)), ENCARG(cons_sieve(z0)), ENCARG(x1))
   ENCARG(cons_cons(cons_nats(z0), x1)) -> c5(CONS(nats(encArg(z0)), encArg(x1)), ENCARG(cons_nats(z0)), ENCARG(x1))
   ENCARG(cons_cons(x0, 0)) -> c5(CONS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_cons(x0, zprimes)) -> c5(CONS(encArg(x0), zprimes), ENCARG(x0))
   ENCARG(cons_cons(0, x1)) -> c5(CONS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_cons(zprimes, x1)) -> c5(CONS(zprimes, encArg(x1)), ENCARG(x1))
   ENCARG(cons_s(cons_active(z0))) -> c6(S(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_s(cons_mark(z0))) -> c6(S(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_s(cons_filter(z0, z1, z2))) -> c6(S(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_s(cons_cons(z0, z1))) -> c6(S(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_sieve(z0))) -> c6(S(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_s(cons_nats(z0))) -> c6(S(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_sieve(cons_active(z0))) -> c7(SIEVE(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_sieve(cons_mark(z0))) -> c7(SIEVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_sieve(cons_filter(z0, z1, z2))) -> c7(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_sieve(cons_cons(z0, z1))) -> c7(SIEVE(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_sieve(cons_s(z0))) -> c7(SIEVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_sieve(cons_sieve(z0))) -> c7(SIEVE(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_sieve(cons_nats(z0))) -> c7(SIEVE(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   ENCARG(cons_nats(cons_active(z0))) -> c8(NATS(active(encArg(z0))), ENCARG(cons_active(z0)))
   ENCARG(cons_nats(cons_mark(z0))) -> c8(NATS(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_nats(cons_filter(z0, z1, z2))) -> c8(NATS(filter(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_filter(z0, z1, z2)))
   ENCARG(cons_nats(cons_cons(z0, z1))) -> c8(NATS(cons(encArg(z0), encArg(z1))), ENCARG(cons_cons(z0, z1)))
   ENCARG(cons_nats(cons_s(z0))) -> c8(NATS(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_nats(cons_sieve(z0))) -> c8(NATS(sieve(encArg(z0))), ENCARG(cons_sieve(z0)))
   ENCARG(cons_nats(cons_nats(z0))) -> c8(NATS(nats(encArg(z0))), ENCARG(cons_nats(z0)))
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_filter(z0, z1, z2)) -> c(ACTIVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_cons(z0, z1)) -> c(ACTIVE(cons(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_sieve(z0)) -> c(ACTIVE(sieve(encArg(z0))))
   ENCODE_ACTIVE(cons_nats(z0)) -> c(ACTIVE(nats(encArg(z0))))
   ENCODE_FILTER(x0, x1, 0) -> c(FILTER(encArg(x0), encArg(x1), 0))
   ENCODE_FILTER(x0, x1, zprimes) -> c(FILTER(encArg(x0), encArg(x1), zprimes))
   ENCODE_FILTER(x0, x1, cons_active(z0)) -> c(FILTER(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_mark(z0)) -> c(FILTER(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_filter(z0, z1, z2)) -> c(FILTER(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_FILTER(x0, x1, cons_cons(z0, z1)) -> c(FILTER(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))))
   ENCODE_FILTER(x0, x1, cons_s(z0)) -> c(FILTER(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_sieve(z0)) -> c(FILTER(encArg(x0), encArg(x1), sieve(encArg(z0))))
   ENCODE_FILTER(x0, x1, cons_nats(z0)) -> c(FILTER(encArg(x0), encArg(x1), nats(encArg(z0))))
   ENCODE_FILTER(x0, 0, x2) -> c(FILTER(encArg(x0), 0, encArg(x2)))
   ENCODE_FILTER(x0, zprimes, x2) -> c(FILTER(encArg(x0), zprimes, encArg(x2)))
   ENCODE_FILTER(x0, cons_active(z0), x2) -> c(FILTER(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_mark(z0), x2) -> c(FILTER(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_filter(z0, z1, z2), x2) -> c(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_FILTER(x0, cons_cons(z0, z1), x2) -> c(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_FILTER(x0, cons_s(z0), x2) -> c(FILTER(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_sieve(z0), x2) -> c(FILTER(encArg(x0), sieve(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(x0, cons_nats(z0), x2) -> c(FILTER(encArg(x0), nats(encArg(z0)), encArg(x2)))
   ENCODE_FILTER(0, x1, x2) -> c(FILTER(0, encArg(x1), encArg(x2)))
   ENCODE_FILTER(zprimes, x1, x2) -> c(FILTER(zprimes, encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_active(z0), x1, x2) -> c(FILTER(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_mark(z0), x1, x2) -> c(FILTER(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_filter(z0, z1, z2), x1, x2) -> c(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_cons(z0, z1), x1, x2) -> c(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_s(z0), x1, x2) -> c(FILTER(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_sieve(z0), x1, x2) -> c(FILTER(sieve(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_FILTER(cons_nats(z0), x1, x2) -> c(FILTER(nats(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_CONS(x0, 0) -> c(CONS(encArg(x0), 0))
   ENCODE_CONS(x0, zprimes) -> c(CONS(encArg(x0), zprimes))
   ENCODE_CONS(x0, cons_active(z0)) -> c(CONS(encArg(x0), active(encArg(z0))))
   ENCODE_CONS(x0, cons_mark(z0)) -> c(CONS(encArg(x0), mark(encArg(z0))))
   ENCODE_CONS(x0, cons_filter(z0, z1, z2)) -> c(CONS(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_CONS(x0, cons_cons(z0, z1)) -> c(CONS(encArg(x0), cons(encArg(z0), encArg(z1))))
   ENCODE_CONS(x0, cons_s(z0)) -> c(CONS(encArg(x0), s(encArg(z0))))
   ENCODE_CONS(x0, cons_sieve(z0)) -> c(CONS(encArg(x0), sieve(encArg(z0))))
   ENCODE_CONS(x0, cons_nats(z0)) -> c(CONS(encArg(x0), nats(encArg(z0))))
   ENCODE_CONS(0, x1) -> c(CONS(0, encArg(x1)))
   ENCODE_CONS(zprimes, x1) -> c(CONS(zprimes, encArg(x1)))
   ENCODE_CONS(cons_active(z0), x1) -> c(CONS(active(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_mark(z0), x1) -> c(CONS(mark(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_filter(z0, z1, z2), x1) -> c(CONS(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_CONS(cons_cons(z0, z1), x1) -> c(CONS(cons(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_CONS(cons_s(z0), x1) -> c(CONS(s(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_sieve(z0), x1) -> c(CONS(sieve(encArg(z0)), encArg(x1)))
   ENCODE_CONS(cons_nats(z0), x1) -> c(CONS(nats(encArg(z0)), encArg(x1)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_filter(z0, z1, z2)) -> c(MARK(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_cons(z0, z1)) -> c(MARK(cons(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_sieve(z0)) -> c(MARK(sieve(encArg(z0))))
   ENCODE_MARK(cons_nats(z0)) -> c(MARK(nats(encArg(z0))))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_filter(z0, z1, z2)) -> c(S(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_cons(z0, z1)) -> c(S(cons(encArg(z0), encArg(z1))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_sieve(z0)) -> c(S(sieve(encArg(z0))))
   ENCODE_S(cons_nats(z0)) -> c(S(nats(encArg(z0))))
   ENCODE_SIEVE(cons_active(z0)) -> c(SIEVE(active(encArg(z0))))
   ENCODE_SIEVE(cons_mark(z0)) -> c(SIEVE(mark(encArg(z0))))
   ENCODE_SIEVE(cons_filter(z0, z1, z2)) -> c(SIEVE(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_SIEVE(cons_cons(z0, z1)) -> c(SIEVE(cons(encArg(z0), encArg(z1))))
   ENCODE_SIEVE(cons_s(z0)) -> c(SIEVE(s(encArg(z0))))
   ENCODE_SIEVE(cons_sieve(z0)) -> c(SIEVE(sieve(encArg(z0))))
   ENCODE_SIEVE(cons_nats(z0)) -> c(SIEVE(nats(encArg(z0))))
   ENCODE_NATS(cons_active(z0)) -> c(NATS(active(encArg(z0))))
   ENCODE_NATS(cons_mark(z0)) -> c(NATS(mark(encArg(z0))))
   ENCODE_NATS(cons_filter(z0, z1, z2)) -> c(NATS(filter(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_NATS(cons_cons(z0, z1)) -> c(NATS(cons(encArg(z0), encArg(z1))))
   ENCODE_NATS(cons_s(z0)) -> c(NATS(s(encArg(z0))))
   ENCODE_NATS(cons_sieve(z0)) -> c(NATS(sieve(encArg(z0))))
   ENCODE_NATS(cons_nats(z0)) -> c(NATS(nats(encArg(z0))))
   ENCARG(cons_active(cons_active(cons_active(z0)))) -> c2(ACTIVE(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_active(cons_active(cons_mark(z0)))) -> c2(ACTIVE(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_active(cons_active(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_cons(z0, z1)))) -> c2(ACTIVE(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_active(cons_s(z0)))) -> c2(ACTIVE(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_active(cons_active(cons_sieve(z0)))) -> c2(ACTIVE(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_active(cons_active(cons_nats(z0)))) -> c2(ACTIVE(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ACTIVE(active(zprimes)))
   ENCARG(cons_active(cons_active(zprimes))) -> c1(ENCARG(cons_active(zprimes)))
   ENCARG(cons_active(cons_mark(cons_active(z0)))) -> c2(ACTIVE(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_active(cons_mark(cons_mark(z0)))) -> c2(ACTIVE(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_active(cons_mark(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_cons(z0, z1)))) -> c2(ACTIVE(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_s(z0)))) -> c2(ACTIVE(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_active(cons_mark(cons_sieve(z0)))) -> c2(ACTIVE(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_active(cons_mark(cons_nats(z0)))) -> c2(ACTIVE(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_active(cons_mark(0))) -> c9(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c9(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ACTIVE(mark(zprimes)))
   ENCARG(cons_active(cons_mark(zprimes))) -> c9(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, 0))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), 0)), ENCARG(cons_filter(x0, x1, 0)))
   ENCARG(cons_active(cons_filter(x0, x1, zprimes))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), zprimes)), ENCARG(cons_filter(x0, x1, zprimes)))
   ENCARG(cons_active(cons_filter(x0, x1, cons_active(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_cons(z0, z1)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1)))), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_s(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_sieve(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), sieve(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_sieve(z0))))
   ENCARG(cons_active(cons_filter(x0, x1, cons_nats(z0)))) -> c2(ACTIVE(filter(encArg(x0), encArg(x1), nats(encArg(z0)))), ENCARG(cons_filter(x0, x1, cons_nats(z0))))
   ENCARG(cons_active(cons_filter(x0, 0, x2))) -> c2(ACTIVE(filter(encArg(x0), 0, encArg(x2))), ENCARG(cons_filter(x0, 0, x2)))
   ENCARG(cons_active(cons_filter(x0, zprimes, x2))) -> c2(ACTIVE(filter(encArg(x0), zprimes, encArg(x2))), ENCARG(cons_filter(x0, zprimes, x2)))
   ENCARG(cons_active(cons_filter(x0, cons_active(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_mark(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_filter(z0, z1, z2), x2))) -> c2(ACTIVE(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_cons(z0, z1), x2))) -> c2(ACTIVE(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_s(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_sieve(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), sieve(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_sieve(z0), x2)))
   ENCARG(cons_active(cons_filter(x0, cons_nats(z0), x2))) -> c2(ACTIVE(filter(encArg(x0), nats(encArg(z0)), encArg(x2))), ENCARG(cons_filter(x0, cons_nats(z0), x2)))
   ENCARG(cons_active(cons_filter(0, x1, x2))) -> c2(ACTIVE(filter(0, encArg(x1), encArg(x2))), ENCARG(cons_filter(0, x1, x2)))
   ENCARG(cons_active(cons_filter(zprimes, x1, x2))) -> c2(ACTIVE(filter(zprimes, encArg(x1), encArg(x2))), ENCARG(cons_filter(zprimes, x1, x2)))
   ENCARG(cons_active(cons_filter(cons_active(z0), x1, x2))) -> c2(ACTIVE(filter(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_mark(z0), x1, x2))) -> c2(ACTIVE(filter(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_filter(z0, z1, z2), x1, x2))) -> c2(ACTIVE(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_cons(z0, z1), x1, x2))) -> c2(ACTIVE(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_s(z0), x1, x2))) -> c2(ACTIVE(filter(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_sieve(z0), x1, x2))) -> c2(ACTIVE(filter(sieve(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_sieve(z0), x1, x2)))
   ENCARG(cons_active(cons_filter(cons_nats(z0), x1, x2))) -> c2(ACTIVE(filter(nats(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_filter(cons_nats(z0), x1, x2)))
   ENCARG(cons_active(cons_cons(x0, 0))) -> c2(ACTIVE(cons(encArg(x0), 0)), ENCARG(cons_cons(x0, 0)))
   ENCARG(cons_active(cons_cons(x0, zprimes))) -> c2(ACTIVE(cons(encArg(x0), zprimes)), ENCARG(cons_cons(x0, zprimes)))
   ENCARG(cons_active(cons_cons(x0, cons_active(z0)))) -> c2(ACTIVE(cons(encArg(x0), active(encArg(z0)))), ENCARG(cons_cons(x0, cons_active(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_mark(z0)))) -> c2(ACTIVE(cons(encArg(x0), mark(encArg(z0)))), ENCARG(cons_cons(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_filter(z0, z1, z2)))) -> c2(ACTIVE(cons(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_cons(x0, cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_cons(x0, cons_cons(z0, z1)))) -> c2(ACTIVE(cons(encArg(x0), cons(encArg(z0), encArg(z1)))), ENCARG(cons_cons(x0, cons_cons(z0, z1))))
   ENCARG(cons_active(cons_cons(x0, cons_s(z0)))) -> c2(ACTIVE(cons(encArg(x0), s(encArg(z0)))), ENCARG(cons_cons(x0, cons_s(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_sieve(z0)))) -> c2(ACTIVE(cons(encArg(x0), sieve(encArg(z0)))), ENCARG(cons_cons(x0, cons_sieve(z0))))
   ENCARG(cons_active(cons_cons(x0, cons_nats(z0)))) -> c2(ACTIVE(cons(encArg(x0), nats(encArg(z0)))), ENCARG(cons_cons(x0, cons_nats(z0))))
   ENCARG(cons_active(cons_cons(0, x1))) -> c2(ACTIVE(cons(0, encArg(x1))), ENCARG(cons_cons(0, x1)))
   ENCARG(cons_active(cons_cons(zprimes, x1))) -> c2(ACTIVE(cons(zprimes, encArg(x1))), ENCARG(cons_cons(zprimes, x1)))
   ENCARG(cons_active(cons_cons(cons_active(z0), x1))) -> c2(ACTIVE(cons(active(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_active(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_mark(z0), x1))) -> c2(ACTIVE(cons(mark(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_filter(z0, z1, z2), x1))) -> c2(ACTIVE(cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_cons(cons_filter(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_cons(cons_cons(z0, z1), x1))) -> c2(ACTIVE(cons(cons(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_cons(cons_cons(z0, z1), x1)))
   ENCARG(cons_active(cons_cons(cons_s(z0), x1))) -> c2(ACTIVE(cons(s(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_s(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_sieve(z0), x1))) -> c2(ACTIVE(cons(sieve(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_sieve(z0), x1)))
   ENCARG(cons_active(cons_cons(cons_nats(z0), x1))) -> c2(ACTIVE(cons(nats(encArg(z0)), encArg(x1))), ENCARG(cons_cons(cons_nats(z0), x1)))
   ENCARG(cons_active(cons_s(cons_active(z0)))) -> c2(ACTIVE(s(active(encArg(z0)))), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_active(cons_s(cons_mark(z0)))) -> c2(ACTIVE(s(mark(encArg(z0)))), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_active(cons_s(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_cons(z0, z1)))) -> c2(ACTIVE(s(cons(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_s(cons_s(z0)))) -> c2(ACTIVE(s(s(encArg(z0)))), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_active(cons_s(cons_sieve(z0)))) -> c2(ACTIVE(s(sieve(encArg(z0)))), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_active(cons_s(cons_nats(z0)))) -> c2(ACTIVE(s(nats(encArg(z0)))), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_active(cons_sieve(cons_active(z0)))) -> c2(ACTIVE(sieve(active(encArg(z0)))), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_active(cons_sieve(cons_mark(z0)))) -> c2(ACTIVE(sieve(mark(encArg(z0)))), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_active(cons_sieve(cons_filter(z0, z1, z2)))) -> c2(ACTIVE(sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_active(cons_sieve(cons_cons(z0, z1)))) -> c2(ACTIVE(sieve(cons(encArg(z0), encArg(z1)))), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_active(cons_sieve(cons_s(z0)))) -> c2(ACTIVE(sieve(s(encArg(z0)))), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_active(cons_sieve(cons_sieve(z0)))) -> c2(ACTIVE(sieve(sieve(encArg(z0)))), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_active(cons_sieve(cons_nats(z0)))) -> c2(ACTIVE(sieve(nats(encArg(z0)))), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(cons_active(z0)))) -> c3(MARK(active(active(encArg(z0)))), ENCARG(cons_active(cons_active(z0))))
   ENCARG(cons_mark(cons_active(cons_mark(z0)))) -> c3(MARK(active(mark(encArg(z0)))), ENCARG(cons_active(cons_mark(z0))))
   ENCARG(cons_mark(cons_active(cons_filter(z0, z1, z2)))) -> c3(MARK(active(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_active(cons_cons(z0, z1)))) -> c3(MARK(active(cons(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_active(cons_s(z0)))) -> c3(MARK(active(s(encArg(z0)))), ENCARG(cons_active(cons_s(z0))))
   ENCARG(cons_mark(cons_active(cons_sieve(z0)))) -> c3(MARK(active(sieve(encArg(z0)))), ENCARG(cons_active(cons_sieve(z0))))
   ENCARG(cons_mark(cons_active(cons_nats(z0)))) -> c3(MARK(active(nats(encArg(z0)))), ENCARG(cons_active(cons_nats(z0))))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(MARK(active(zprimes)))
   ENCARG(cons_mark(cons_active(zprimes))) -> c10(ENCARG(cons_active(zprimes)))
   ENCARG(cons_mark(cons_mark(cons_active(z0)))) -> c3(MARK(mark(active(encArg(z0)))), ENCARG(cons_mark(cons_active(z0))))
   ENCARG(cons_mark(cons_mark(cons_mark(z0)))) -> c3(MARK(mark(mark(encArg(z0)))), ENCARG(cons_mark(cons_mark(z0))))
   ENCARG(cons_mark(cons_mark(cons_filter(z0, z1, z2)))) -> c3(MARK(mark(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_filter(z0, z1, z2))))
   ENCARG(cons_mark(cons_mark(cons_cons(z0, z1)))) -> c3(MARK(mark(cons(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_cons(z0, z1))))
   ENCARG(cons_mark(cons_mark(cons_s(z0)))) -> c3(MARK(mark(s(encArg(z0)))), ENCARG(cons_mark(cons_s(z0))))
   ENCARG(cons_mark(cons_mark(cons_sieve(z0)))) -> c3(MARK(mark(sieve(encArg(z0)))), ENCARG(cons_mark(cons_sieve(z0))))
   ENCARG(cons_mark(cons_mark(cons_nats(z0)))) -> c3(MARK(mark(nats(encArg(z0)))), ENCARG(cons_mark(cons_nats(z0))))
   ENCARG(cons_mark(cons_mark(0))) -> c11(MARK(mark(0)))
   ENCARG(cons_mark(cons_mark(0))) -> c11(ENCARG(cons_mark(0)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(MARK(mark(zprimes)))
   ENCARG(cons_mark(cons_mark(zprimes))) -> c11(ENCARG(cons_mark(zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, 0))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, 0)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, x3, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), encArg(x3), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, x3, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, 0, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), 0, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, 0, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, zprimes, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), zprimes, encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, zprimes, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_active(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), active(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_active(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_mark(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), mark(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_mark(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_filter(z0, z1, z2), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_filter(z0, z1, z2), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_cons(z0, z1), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), cons(encArg(z0), encArg(z1)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_cons(z0, z1), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_s(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), s(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_s(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_sieve(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), sieve(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_sieve(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(x2, cons_nats(z0), x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(encArg(x2), nats(encArg(z0)), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(x2, cons_nats(z0), x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(0, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(0, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(0, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(zprimes, x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(zprimes, encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(zprimes, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_active(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(active(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_active(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_mark(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(mark(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_mark(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_filter(z0, z1, z2), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_filter(z0, z1, z2), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_cons(z0, z1), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(cons(encArg(z0), encArg(z1)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_cons(z0, z1), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_s(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(s(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_s(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_sieve(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(sieve(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_sieve(z0), x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_filter(cons_nats(z0), x3, x4))) -> c4(FILTER(encArg(x0), encArg(x1), filter(nats(encArg(z0)), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(x1), ENCARG(cons_filter(cons_nats(z0), x3, x4)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), active(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), s(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(active(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(s(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_filter(x2, x3, x4))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, 0, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), 0, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, zprimes, cons_filter(x2, x3, x4))) -> c4(FILTER(encArg(x0), zprimes, filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x0), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(0, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(0, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(zprimes, x1, cons_filter(x2, x3, x4))) -> c4(FILTER(zprimes, encArg(x1), filter(encArg(x2), encArg(x3), encArg(x4))), ENCARG(x1), ENCARG(cons_filter(x2, x3, x4)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, 0))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), 0)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, 0)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), zprimes)), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, zprimes)))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(x2, cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), cons(encArg(x2), nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(x2, cons_nats(z0))))
   ENCARG(cons_filter(x0, x1, cons_cons(0, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(0, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(0, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(zprimes, x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(zprimes, encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(zprimes, x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_active(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(active(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_active(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_mark(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(mark(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_mark(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_filter(z0, z1, z2), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_filter(z0, z1, z2), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_cons(z0, z1), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(cons(encArg(z0), encArg(z1)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_cons(z0, z1), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_s(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(s(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_s(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_sieve(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(sieve(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_sieve(z0), x3)))
   ENCARG(cons_filter(x0, x1, cons_cons(cons_nats(z0), x3))) -> c4(FILTER(encArg(x0), encArg(x1), cons(nats(encArg(z0)), encArg(x3))), ENCARG(x0), ENCARG(x1), ENCARG(cons_cons(cons_nats(z0), x3)))
   ENCARG(cons_filter(x0, cons_active(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), active(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), s(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(active(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_cons(x2, x3))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_cons(x2, x3))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(s(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_cons(x2, x3))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, 0, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), 0, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, zprimes, cons_cons(x2, x3))) -> c4(FILTER(encArg(x0), zprimes, cons(encArg(x2), encArg(x3))), ENCARG(x0), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(0, x1, cons_cons(x2, x3))) -> c4(FILTER(0, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(zprimes, x1, cons_cons(x2, x3))) -> c4(FILTER(zprimes, encArg(x1), cons(encArg(x2), encArg(x3))), ENCARG(x1), ENCARG(cons_cons(x2, x3)))
   ENCARG(cons_filter(x0, x1, cons_s(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), s(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), s(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_s(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), s(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_s(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_s(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_s(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), s(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_s(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_s(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_s(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), s(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_s(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), s(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_s(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_s(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_s(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), s(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_s(0))) -> c4(FILTER(encArg(x0), encArg(x1), s(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_s(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), s(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_s(x2))) -> c4(FILTER(encArg(x0), 0, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_s(x2))) -> c4(FILTER(encArg(x0), zprimes, s(encArg(x2))), ENCARG(x0), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(0, x1, cons_s(x2))) -> c4(FILTER(0, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_s(x2))) -> c4(FILTER(zprimes, encArg(x1), s(encArg(x2))), ENCARG(x1), ENCARG(cons_s(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_sieve(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_sieve(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_sieve(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_sieve(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_sieve(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_sieve(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_sieve(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_sieve(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_sieve(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_sieve(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_sieve(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_sieve(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), sieve(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_sieve(0))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_sieve(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), sieve(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_sieve(x2))) -> c4(FILTER(encArg(x0), 0, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_sieve(x2))) -> c4(FILTER(encArg(x0), zprimes, sieve(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(0, x1, cons_sieve(x2))) -> c4(FILTER(0, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_sieve(x2))) -> c4(FILTER(zprimes, encArg(x1), sieve(encArg(x2))), ENCARG(x1), ENCARG(cons_sieve(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_active(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(active(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_active(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_mark(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(mark(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_mark(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_filter(z0, z1, z2)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(filter(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_filter(z0, z1, z2))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_cons(z0, z1)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(cons(encArg(z0), encArg(z1)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_cons(z0, z1))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_s(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(s(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_s(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_sieve(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(sieve(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_sieve(z0))))
   ENCARG(cons_filter(x0, x1, cons_nats(cons_nats(z0)))) -> c4(FILTER(encArg(x0), encArg(x1), nats(nats(encArg(z0)))), ENCARG(x0), ENCARG(x1), ENCARG(cons_nats(cons_nats(z0))))
   ENCARG(cons_filter(x0, cons_active(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), active(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_mark(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), mark(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), cons_nats(x2))) -> c4(FILTER(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_cons(z0, z1), cons_nats(x2))) -> c4(FILTER(encArg(x0), cons(encArg(z0), encArg(z1)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_s(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), s(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_sieve(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), sieve(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_nats(z0), cons_nats(x2))) -> c4(FILTER(encArg(x0), nats(encArg(z0)), nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_active(z0), x1, cons_nats(x2))) -> c4(FILTER(active(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_mark(z0), x1, cons_nats(x2))) -> c4(FILTER(mark(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, cons_nats(x2))) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), nats(encArg(x2))), ENCARG(cons_filter(z0, z1, z2)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_cons(z0, z1), x1, cons_nats(x2))) -> c4(FILTER(cons(encArg(z0), encArg(z1)), encArg(x1), nats(encArg(x2))), ENCARG(cons_cons(z0, z1)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_s(z0), x1, cons_nats(x2))) -> c4(FILTER(s(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_sieve(z0), x1, cons_nats(x2))) -> c4(FILTER(sieve(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_sieve(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(cons_nats(z0), x1, cons_nats(x2))) -> c4(FILTER(nats(encArg(z0)), encArg(x1), nats(encArg(x2))), ENCARG(cons_nats(z0)), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, x1, cons_nats(0))) -> c4(FILTER(encArg(x0), encArg(x1), nats(0)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, x1, cons_nats(zprimes))) -> c4(FILTER(encArg(x0), encArg(x1), nats(zprimes)), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_filter(x0, 0, cons_nats(x2))) -> c4(FILTER(encArg(x0), 0, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, zprimes, cons_nats(x2))) -> c4(FILTER(encArg(x0), zprimes, nats(encArg(x2))), ENCARG(x0), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(0, x1, cons_nats(x2))) -> c4(FILTER(0, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(zprimes, x1, cons_nats(x2))) -> c4(FILTER(zprimes, encArg(x1), nats(encArg(x2))), ENCARG(x1), ENCARG(cons_nats(x2)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_active(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), cons_mark(z0))) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, 0), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), 0), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, 0)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, zprimes), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), zprimes), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, zprimes)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_active(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), active(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_active(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_mark(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), mark(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_mark(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_filter(z0, z1, z2)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_filter(z0, z1, z2))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_cons(z0, z1)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), cons(encArg(z0), encArg(z1))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_cons(z0, z1))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_s(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), s(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_s(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_sieve(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), sieve(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_sieve(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, cons_nats(z0)), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), nats(encArg(z0))), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, x2, cons_nats(z0))), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, 0, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), 0, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, 0, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, zprimes, x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), zprimes, encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, zprimes, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_active(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), active(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_active(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_mark(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), mark(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_mark(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_filter(z0, z1, z2), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_filter(z0, z1, z2), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_cons(z0, z1), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), cons(encArg(z0), encArg(z1)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_cons(z0, z1), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_s(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), s(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_s(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_sieve(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), sieve(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_sieve(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, cons_nats(z0), x3), x4)) -> c4(FILTER(encArg(x0), filter(encArg(x1), nats(encArg(z0)), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(x1, cons_nats(z0), x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(0, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(0, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(0, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(zprimes, x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(zprimes, encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(zprimes, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_active(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(active(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_active(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_mark(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(mark(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_mark(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_filter(z0, z1, z2), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_filter(z0, z1, z2), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_cons(z0, z1), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(cons(encArg(z0), encArg(z1)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_cons(z0, z1), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_s(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(s(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_s(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_sieve(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(sieve(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_sieve(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(cons_nats(z0), x2, x3), x4)) -> c4(FILTER(encArg(x0), filter(nats(encArg(z0)), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(x0), ENCARG(cons_filter(cons_nats(z0), x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_active(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(active(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_active(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_mark(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(mark(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_mark(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_s(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(s(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_s(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_sieve(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(sieve(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_sieve(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(cons_nats(z0), cons_filter(x1, x2, x3), x4)) -> c4(FILTER(nats(encArg(z0)), filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_nats(z0)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), 0)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), 0), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(x0, cons_filter(x1, x2, x3), zprimes)) -> c4(FILTER(encArg(x0), filter(encArg(x1), encArg(x2), encArg(x3)), zprimes), ENCARG(x0), ENCARG(cons_filter(x1, x2, x3)))
   ENCARG(cons_filter(0, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(0, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(zprimes, cons_filter(x1, x2, x3), x4)) -> c4(FILTER(zprimes, filter(encArg(x1), encArg(x2), encArg(x3)), encArg(x4)), ENCARG(cons_filter(x1, x2, x3)), ENCARG(x4))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_active(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), cons_mark(z0))) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_cons(x1, x2)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_cons(x1, 0), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), 0), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, 0)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, zprimes), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), zprimes), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, zprimes)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_active(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), active(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_active(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_mark(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), mark(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_mark(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_filter(z0, z1, z2)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_filter(z0, z1, z2))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_cons(z0, z1)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_cons(z0, z1))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_s(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), s(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_s(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_sieve(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), sieve(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_sieve(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, cons_nats(z0)), x3)) -> c4(FILTER(encArg(x0), cons(encArg(x1), nats(encArg(z0))), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(x1, cons_nats(z0))), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(0, x2), x3)) -> c4(FILTER(encArg(x0), cons(0, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(0, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(zprimes, x2), x3)) -> c4(FILTER(encArg(x0), cons(zprimes, encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(zprimes, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_active(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(active(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_active(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_mark(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(mark(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_mark(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_filter(z0, z1, z2), x2), x3)) -> c4(FILTER(encArg(x0), cons(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_filter(z0, z1, z2), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_cons(z0, z1), x2), x3)) -> c4(FILTER(encArg(x0), cons(cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_cons(z0, z1), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_s(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(s(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_s(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_sieve(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(sieve(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_sieve(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(cons_nats(z0), x2), x3)) -> c4(FILTER(encArg(x0), cons(nats(encArg(z0)), encArg(x2)), encArg(x3)), ENCARG(x0), ENCARG(cons_cons(cons_nats(z0), x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_active(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(active(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_active(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_mark(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(mark(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_mark(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_cons(x1, x2), x3)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_cons(x1, x2), x3)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_s(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(s(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_s(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_sieve(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(sieve(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_sieve(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_nats(z0), cons_cons(x1, x2), x3)) -> c4(FILTER(nats(encArg(z0)), cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_nats(z0)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), 0)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), 0), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(x0, cons_cons(x1, x2), zprimes)) -> c4(FILTER(encArg(x0), cons(encArg(x1), encArg(x2)), zprimes), ENCARG(x0), ENCARG(cons_cons(x1, x2)))
   ENCARG(cons_filter(0, cons_cons(x1, x2), x3)) -> c4(FILTER(0, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(zprimes, cons_cons(x1, x2), x3)) -> c4(FILTER(zprimes, cons(encArg(x1), encArg(x2)), encArg(x3)), ENCARG(cons_cons(x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(x0, cons_s(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_s(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), s(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_s(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_s(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), s(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), s(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), s(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), s(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), s(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), s(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), s(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_s(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_s(x1), x2)) -> c4(FILTER(active(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_s(x1), x2)) -> c4(FILTER(mark(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_s(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), s(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_s(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), s(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_s(x1), x2)) -> c4(FILTER(s(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_s(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_s(x1), x2)) -> c4(FILTER(nats(encArg(z0)), s(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(x1), 0)) -> c4(FILTER(encArg(x0), s(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(x1), zprimes)) -> c4(FILTER(encArg(x0), s(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_s(x1)))
   ENCARG(cons_filter(x0, cons_s(0), x2)) -> c4(FILTER(encArg(x0), s(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_s(zprimes), x2)) -> c4(FILTER(encArg(x0), s(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_s(x1), x2)) -> c4(FILTER(0, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_s(x1), x2)) -> c4(FILTER(zprimes, s(encArg(x1)), encArg(x2)), ENCARG(cons_s(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_sieve(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_sieve(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_sieve(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), sieve(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), sieve(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), sieve(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_sieve(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_sieve(x1), x2)) -> c4(FILTER(active(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_sieve(x1), x2)) -> c4(FILTER(mark(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_sieve(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_sieve(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_sieve(x1), x2)) -> c4(FILTER(s(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_sieve(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_sieve(x1), x2)) -> c4(FILTER(nats(encArg(z0)), sieve(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(x1), 0)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(x1), zprimes)) -> c4(FILTER(encArg(x0), sieve(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_sieve(x1)))
   ENCARG(cons_filter(x0, cons_sieve(0), x2)) -> c4(FILTER(encArg(x0), sieve(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_sieve(zprimes), x2)) -> c4(FILTER(encArg(x0), sieve(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_sieve(x1), x2)) -> c4(FILTER(0, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_sieve(x1), x2)) -> c4(FILTER(zprimes, sieve(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_active(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), active(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(x0, cons_nats(x1), cons_mark(z0))) -> c4(FILTER(encArg(x0), nats(encArg(x1)), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_nats(x1)), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(x0, cons_nats(cons_active(z0)), x2)) -> c4(FILTER(encArg(x0), nats(active(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_active(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_mark(z0)), x2)) -> c4(FILTER(encArg(x0), nats(mark(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_mark(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_filter(z0, z1, z2)), x2)) -> c4(FILTER(encArg(x0), nats(filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_filter(z0, z1, z2))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_cons(z0, z1)), x2)) -> c4(FILTER(encArg(x0), nats(cons(encArg(z0), encArg(z1))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_cons(z0, z1))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_s(z0)), x2)) -> c4(FILTER(encArg(x0), nats(s(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_s(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_sieve(z0)), x2)) -> c4(FILTER(encArg(x0), nats(sieve(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_sieve(z0))), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(cons_nats(z0)), x2)) -> c4(FILTER(encArg(x0), nats(nats(encArg(z0))), encArg(x2)), ENCARG(x0), ENCARG(cons_nats(cons_nats(z0))), ENCARG(x2))
   ENCARG(cons_filter(cons_active(z0), cons_nats(x1), x2)) -> c4(FILTER(active(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_mark(z0), cons_nats(x1), x2)) -> c4(FILTER(mark(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(z0, z1, z2), cons_nats(x1), x2)) -> c4(FILTER(filter(encArg(z0), encArg(z1), encArg(z2)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_filter(z0, z1, z2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_cons(z0, z1), cons_nats(x1), x2)) -> c4(FILTER(cons(encArg(z0), encArg(z1)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_cons(z0, z1)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_s(z0), cons_nats(x1), x2)) -> c4(FILTER(s(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_sieve(z0), cons_nats(x1), x2)) -> c4(FILTER(sieve(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_sieve(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_nats(z0), cons_nats(x1), x2)) -> c4(FILTER(nats(encArg(z0)), nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(z0)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(x1), 0)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), 0), ENCARG(x0), ENCARG(cons_nats(x1)))
   ENCARG(cons_filter(x0, cons_nats(x1), zprimes)) -> c4(FILTER(encArg(x0), nats(encArg(x1)), zprimes), ENCARG(x0), ENCARG(cons_nats(x1)))
   ENCARG(cons_filter(x0, cons_nats(0), x2)) -> c4(FILTER(encArg(x0), nats(0), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(x0, cons_nats(zprimes), x2)) -> c4(FILTER(encArg(x0), nats(zprimes), encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_filter(0, cons_nats(x1), x2)) -> c4(FILTER(0, nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(zprimes, cons_nats(x1), x2)) -> c4(FILTER(zprimes, nats(encArg(x1)), encArg(x2)), ENCARG(cons_nats(x1)), ENCARG(x2))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_active(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), active(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_active(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, cons_mark(z0))) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), mark(encArg(z0))), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3), ENCARG(cons_mark(z0)))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_active(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), active(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_active(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), cons_mark(z0), x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), mark(encArg(z0)), encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(cons_mark(z0)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, 0), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), 0), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, 0)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, zprimes), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), zprimes), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, zprimes)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_active(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), active(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_active(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_mark(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), mark(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_mark(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_filter(z0, z1, z2)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), filter(encArg(z0), encArg(z1), encArg(z2))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_filter(z0, z1, z2))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_cons(z0, z1)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), cons(encArg(z0), encArg(z1))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_cons(z0, z1))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_s(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), s(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_s(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_sieve(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), sieve(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_sieve(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, cons_nats(z0)), x3, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), nats(encArg(z0))), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, x1, cons_nats(z0))), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, 0, x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), 0, encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, 0, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, zprimes, x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), zprimes, encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, zprimes, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_active(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), active(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_active(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_mark(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), mark(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_mark(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_filter(z0, z1, z2), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_filter(z0, z1, z2), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_cons(z0, z1), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), cons(encArg(z0), encArg(z1)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_cons(z0, z1), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_s(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), s(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_s(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_sieve(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), sieve(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_sieve(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, cons_nats(z0), x2), x3, x4)) -> c4(FILTER(filter(encArg(x0), nats(encArg(z0)), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(x0, cons_nats(z0), x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(0, x1, x2), x3, x4)) -> c4(FILTER(filter(0, encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(0, x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(zprimes, x1, x2), x3, x4)) -> c4(FILTER(filter(zprimes, encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(zprimes, x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_active(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(active(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_active(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_mark(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(mark(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_mark(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_filter(z0, z1, z2), x1, x2), x3, x4)) -> c4(FILTER(filter(filter(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_filter(z0, z1, z2), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_cons(z0, z1), x1, x2), x3, x4)) -> c4(FILTER(filter(cons(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_cons(z0, z1), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_s(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(s(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_s(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_sieve(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(sieve(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_sieve(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(cons_nats(z0), x1, x2), x3, x4)) -> c4(FILTER(filter(nats(encArg(z0)), encArg(x1), encArg(x2)), encArg(x3), encArg(x4)), ENCARG(cons_filter(cons_nats(z0), x1, x2)), ENCARG(x3), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, 0)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), 0), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), x3, zprimes)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), encArg(x3), zprimes), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x3))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), 0, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), 0, encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x4))
   ENCARG(cons_filter(cons_filter(x0, x1, x2), zprimes, x4)) -> c4(FILTER(filter(encArg(x0), encArg(x1), encArg(x2)), zprimes, encArg(x4)), ENCARG(cons_filter(x0, x1, x2)), ENCARG(x4))
S tuples:
   ACTIVE(filter(cons(z0, z1), s(z2), z3)) -> c19(MARK(cons(z0, filter(z1, z2, z3))), CONS(z0, filter(z1, z2, z3)), FILTER(z1, z2, z3))
   MARK(zprimes) -> c30(ACTIVE(zprimes))
   FILTER(mark(z0), z1, z2) -> c31(FILTER(z0, z1, z2))
   FILTER(z0, mark(z1), z2) -> c32(FILTER(z0, z1, z2))
   FILTER(z0, z1, mark(z2)) -> c33(FILTER(z0, z1, z2))
   FILTER(active(z0), z1, z2) -> c34(FILTER(z0, z1, z2))
   FILTER(z0, active(z1), z2) -> c35(FILTER(z0, z1, z2))
   FILTER(z0, z1, active(z2)) -> c36(FILTER(z0, z1, z2))
   CONS(mark(z0), z1) -> c37(CONS(z0, z1))
   CONS(z0, mark(z1)) -> c38(CONS(z0, z1))
   CONS(active(z0), z1) -> c39(CONS(z0, z1))
   CONS(z0, active(z1)) -> c40(CONS(z0, z1))
   S(mark(z0)) -> c41(S(z0))
   S(active(z0)) -> c42(S(z0))
   SIEVE(mark(z0)) -> c43(SIEVE(z0))
   SIEVE(active(z0)) -> c44(SIEVE(z0))
   NATS(mark(z0)) -> c45(NATS(z0))
   NATS(active(z0)) -> c46(NATS(z0))
   ACTIVE(filter(cons(z0, z1), 0, z2)) -> c18(MARK(cons(0, filter(z1, z2, z2))), FILTER(z1, z2, z2))
   ACTIVE(sieve(cons(0, z0))) -> c20(MARK(cons(0, sieve(z0))), SIEVE(z0))
   ACTIVE(sieve(cons(s(z0), z1))) -> c21(MARK(cons(s(z0), sieve(filter(z1, z0, z0)))), S(z0), FILTER(z1, z0, z0))
   ACTIVE(nats(z0)) -> c22(MARK(cons(z0, nats(s(z0)))), S(z0))
   ACTIVE(zprimes) -> c23(MARK(sieve(nats(s(s(0))))))
   MARK(0) -> c26
   MARK(filter(z0, x1, x2)) -> c24(ACTIVE(filter(z0, mark(x1), mark(x2))), FILTER(mark(z0), mark(x1), mark(x2)), MARK(z0), MARK(x1), MARK(x2))
   MARK(filter(x0, z1, x2)) -> c24(ACTIVE(filter(mark(x0), z1, mark(x2))), FILTER(mark(x0), mark(z1), mark(x2)), MARK(x0), MARK(z1), MARK(x2))
   MARK(filter(x0, x1, z2)) -> c24(ACTIVE(filter(mark(x0), mark(x1), z2)), FILTER(mark(x0), mark(x1), mark(z2)), MARK(x0), MARK(x1), MARK(z2))
   MARK(filter(x0, x1, filter(z0, z1, z2))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(filter(mark(z0), mark(z1), mark(z2))))), FILTER(mark(x0), mark(x1), mark(filter(z0, z1, z2))), MARK(x0), MARK(x1), MARK(filter(z0, z1, z2)))
   MARK(filter(x0, x1, cons(z0, z1))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(cons(mark(z0), z1)))), FILTER(mark(x0), mark(x1), mark(cons(z0, z1))), MARK(x0), MARK(x1), MARK(cons(z0, z1)))
   MARK(filter(x0, x1, 0)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(0))), FILTER(mark(x0), mark(x1), mark(0)), MARK(x0), MARK(x1), MARK(0))
   MARK(filter(x0, x1, s(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(s(mark(z0))))), FILTER(mark(x0), mark(x1), mark(s(z0))), MARK(x0), MARK(x1), MARK(s(z0)))
   MARK(filter(x0, x1, sieve(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(sieve(mark(z0))))), FILTER(mark(x0), mark(x1), mark(sieve(z0))), MARK(x0), MARK(x1), MARK(sieve(z0)))
   MARK(filter(x0, x1, nats(z0))) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(nats(mark(z0))))), FILTER(mark(x0), mark(x1), mark(nats(z0))), MARK(x0), MARK(x1), MARK(nats(z0)))
   MARK(filter(x0, x1, zprimes)) -> c24(ACTIVE(filter(mark(x0), mark(x1), active(zprimes))), FILTER(mark(x0), mark(x1), mark(zprimes)), MARK(x0), MARK(x1), MARK(zprimes))
   MARK(filter(x0, filter(z0, z1, z2), x2)) -> c24(ACTIVE(filter(mark(x0), active(filter(mark(z0), mark(z1), mark(z2))), mark(x2))), FILTER(mark(x0), mark(filter(z0, z1, z2)), mark(x2)), MARK(x0), MARK(filter(z0, z1, z2)), MARK(x2))
   MARK(filter(x0, cons(z0, z1), x2)) -> c24(ACTIVE(filter(mark(x0), active(cons(mark(z0), z1)), mark(x2))), FILTER(mark(x0), mark(cons(z0, z1)), mark(x2)), MARK(x0), MARK(cons(z0, z1)), MARK(x2))
   MARK(filter(x0, 0, x2)) -> c24(ACTIVE(filter(mark(x0), active(0), mark(x2))), FILTER(mark(x0), mark(0), mark(x2)), MARK(x0), MARK(0), MARK(x2))
   MARK(filter(x0, s(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(s(mark(z0))), mark(x2))), FILTER(mark(x0), mark(s(z0)), mark(x2)), MARK(x0), MARK(s(z0)), MARK(x2))
   MARK(filter(x0, sieve(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(sieve(mark(z0))), mark(x2))), FILTER(mark(x0), mark(sieve(z0)), mark(x2)), MARK(x0), MARK(sieve(z0)), MARK(x2))
   MARK(filter(x0, nats(z0), x2)) -> c24(ACTIVE(filter(mark(x0), active(nats(mark(z0))), mark(x2))), FILTER(mark(x0), mark(nats(z0)), mark(x2)), MARK(x0), MARK(nats(z0)), MARK(x2))
   MARK(filter(x0, zprimes, x2)) -> c24(ACTIVE(filter(mark(x0), active(zprimes), mark(x2))), FILTER(mark(x0), mark(zprimes), mark(x2)), MARK(x0), MARK(zprimes), MARK(x2))
   MARK(filter(filter(z0, z1, z2), x1, x2)) -> c24(ACTIVE(filter(active(filter(mark(z0), mark(z1), mark(z2))), mark(x1), mark(x2))), FILTER(mark(filter(z0, z1, z2)), mark(x1), mark(x2)), MARK(filter(z0, z1, z2)), MARK(x1), MARK(x2))
   MARK(filter(cons(z0, z1), x1, x2)) -> c24(ACTIVE(filter(active(cons(mark(z0), z1)), mark(x1), mark(x2))), FILTER(mark(cons(z0, z1)), mark(x1), mark(x2)), MARK(cons(z0, z1)), MARK(x1), MARK(x2))
   MARK(filter(0, x1, x2)) -> c24(ACTIVE(filter(active(0), mark(x1), mark(x2))), FILTER(mark(0), mark(x1), mark(x2)), MARK(0), MARK(x1), MARK(x2))
   MARK(filter(s(z0), x1, x2)) -> c24(ACTIVE(filter(active(s(mark(z0))), mark(x1), mark(x2))), FILTER(mark(s(z0)), mark(x1), mark(x2)), MARK(s(z0)), MARK(x1), MARK(x2))
   MARK(filter(sieve(z0), x1, x2)) -> c24(ACTIVE(filter(active(sieve(mark(z0))), mark(x1), mark(x2))), FILTER(mark(sieve(z0)), mark(x1), mark(x2)), MARK(sieve(z0)), MARK(x1), MARK(x2))
   MARK(filter(nats(z0), x1, x2)) -> c24(ACTIVE(filter(active(nats(mark(z0))), mark(x1), mark(x2))), FILTER(mark(nats(z0)), mark(x1), mark(x2)), MARK(nats(z0)), MARK(x1), MARK(x2))
   MARK(filter(zprimes, x1, x2)) -> c24(ACTIVE(filter(active(zprimes), mark(x1), mark(x2))), FILTER(mark(zprimes), mark(x1), mark(x2)), MARK(zprimes), MARK(x1), MARK(x2))
   MARK(cons(filter(z0, z1, z2), x1)) -> c25(ACTIVE(cons(active(filter(mark(z0), mark(z1), mark(z2))), x1)), CONS(mark(filter(z0, z1, z2)), x1), MARK(filter(z0, z1, z2)))
   MARK(cons(cons(z0, z1), x1)) -> c25(ACTIVE(cons(active(cons(mark(z0), z1)), x1)), CONS(mark(cons(z0, z1)), x1), MARK(cons(z0, z1)))
   MARK(cons(0, x1)) -> c25(ACTIVE(cons(active(0), x1)), CONS(mark(0), x1), MARK(0))
   MARK(cons(s(z0), x1)) -> c25(ACTIVE(cons(active(s(mark(z0))), x1)), CONS(mark(s(z0)), x1), MARK(s(z0)))
   MARK(cons(sieve(z0), x1)) -> c25(ACTIVE(cons(active(sieve(mark(z0))), x1)), CONS(mark(sieve(z0)), x1), MARK(sieve(z0)))
   MARK(cons(nats(z0), x1)) -> c25(ACTIVE(cons(active(nats(mark(z0))), x1)), CONS(mark(nats(z0)), x1), MARK(nats(z0)))
   MARK(cons(zprimes, x1)) -> c25(ACTIVE(cons(active(zprimes), x1)), CONS(mark(zprimes), x1), MARK(zprimes))
   MARK(cons(x0, x1)) -> c25(CONS(mark(x0), x1))
   MARK(cons(z0, z1)) -> c25(CONS(mark(z0), z1), MARK(z0))
   MARK(s(filter(z0, z1, z2))) -> c27(ACTIVE(s(active(filter(mark(z0), mark(z1), mark(z2))))), S(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(s(cons(z0, z1))) -> c27(ACTIVE(s(active(cons(mark(z0), z1)))), S(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(s(0)) -> c27(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(s(z0))) -> c27(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(sieve(z0))) -> c27(ACTIVE(s(active(sieve(mark(z0))))), S(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(s(nats(z0))) -> c27(ACTIVE(s(active(nats(mark(z0))))), S(mark(nats(z0))), MARK(nats(z0)))
   MARK(s(zprimes)) -> c27(ACTIVE(s(active(zprimes))), S(mark(zprimes)), MARK(zprimes))
   MARK(s(z0)) -> c27(S(mark(z0)), MARK(z0))
   MARK(sieve(z0)) -> c28(ACTIVE(sieve(z0)), SIEVE(mark(z0)), MARK(z0))
   MARK(sieve(filter(z0, z1, z2))) -> c28(ACTIVE(sieve(active(filter(mark(z0), mark(z1), mark(z2))))), SIEVE(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(sieve(cons(z0, z1))) -> c28(ACTIVE(sieve(active(cons(mark(z0), z1)))), SIEVE(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(sieve(0)) -> c28(ACTIVE(sieve(active(0))), SIEVE(mark(0)), MARK(0))
   MARK(sieve(s(z0))) -> c28(ACTIVE(sieve(active(s(mark(z0))))), SIEVE(mark(s(z0))), MARK(s(z0)))
   MARK(sieve(sieve(z0))) -> c28(ACTIVE(sieve(active(sieve(mark(z0))))), SIEVE(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(sieve(nats(z0))) -> c28(ACTIVE(sieve(active(nats(mark(z0))))), SIEVE(mark(nats(z0))), MARK(nats(z0)))
   MARK(sieve(zprimes)) -> c28(ACTIVE(sieve(active(zprimes))), SIEVE(mark(zprimes)), MARK(zprimes))
   MARK(nats(z0)) -> c29(ACTIVE(nats(z0)), NATS(mark(z0)), MARK(z0))
   MARK(nats(filter(z0, z1, z2))) -> c29(ACTIVE(nats(active(filter(mark(z0), mark(z1), mark(z2))))), NATS(mark(filter(z0, z1, z2))), MARK(filter(z0, z1, z2)))
   MARK(nats(cons(z0, z1))) -> c29(ACTIVE(nats(active(cons(mark(z0), z1)))), NATS(mark(cons(z0, z1))), MARK(cons(z0, z1)))
   MARK(nats(0)) -> c29(ACTIVE(nats(active(0))), NATS(mark(0)), MARK(0))
   MARK(nats(s(z0))) -> c29(ACTIVE(nats(active(s(mark(z0))))), NATS(mark(s(z0))), MARK(s(z0)))
   MARK(nats(sieve(z0))) -> c29(ACTIVE(nats(active(sieve(mark(z0))))), NATS(mark(sieve(z0))), MARK(sieve(z0)))
   MARK(nats(nats(z0))) -> c29(ACTIVE(nats(active(nats(mark(z0))))), NATS(mark(nats(z0))), MARK(nats(z0)))
   MARK(nats(zprimes)) -> c29(ACTIVE(nats(active(zprimes))), NATS(mark(zprimes)), MARK(zprimes))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, filter_3, cons_2, s_1, sieve_1, nats_1

Defined Pair Symbols:   ACTIVE_1, MARK_1, FILTER_3, CONS_2, S_1, SIEVE_1, NATS_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_FILTER_3, ENCODE_CONS_2, ENCODE_MARK_1, ENCODE_S_1, ENCODE_SIEVE_1, ENCODE_NATS_1

Compound Symbols:   c19_3, c30_1, c31_1, c32_1, c33_1, c34_1, c35_1, c36_1, c37_1, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c18_2, c20_2, c21_3, c22_2, c23_1, c26, c2_2, c2_1, c3_2, c3_1, c4_4, c4_3, c5_3, c5_2, c6_2, c7_2, c8_2, c24_5, c25_3, c25_1, c25_2, c27_3, c27_2, c28_3, c29_3, c_1, c1_1, c9_1, c10_1, c11_1