/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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), 344 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), 10.9 s]
    (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) CompletionProof [UPPER BOUND(ID), 0 ms]
    (26) CpxTypedWeightedCompleteTrs
        (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (28) CpxRNTS
(29) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(30) CdtProblem
    (31) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (32) CdtProblem
    (33) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (34) CdtProblem
    (35) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (36) CdtProblem
    (37) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (38) CdtProblem
    (39) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 57 ms]
    (40) CdtProblem
    (41) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16 ms]
    (42) CdtProblem
    (43) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 1 ms]
    (44) CdtProblem
    (45) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (46) CdtProblem
    (47) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 76 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms]
    (52) CdtProblem
    (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 132 ms]
    (54) CdtProblem
    (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 40 ms]
    (58) CdtProblem
    (59) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 92 ms]
    (62) CdtProblem
    (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (64) CdtProblem
    (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 202 ms]
    (66) CdtProblem
    (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 9 ms]
    (68) CdtProblem
    (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 243 ms]
    (70) CdtProblem
    (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 44 ms]
    (72) CdtProblem
    (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 152 ms]
    (74) CdtProblem
    (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 21 ms]
    (76) CdtProblem
    (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (78) CdtProblem
    (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 28 ms]
    (80) CdtProblem
    (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (82) CdtProblem
    (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (84) CdtProblem
    (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 58 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), 93 ms]
    (92) CdtProblem
    (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms]
    (94) CdtProblem
    (95) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 23 ms]
    (96) CdtProblem
    (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 38 ms]
    (98) CdtProblem
    (99) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 44 ms]
    (100) CdtProblem
    (101) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (102) CdtProblem
    (103) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 37 ms]
    (104) CdtProblem
    (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms]
    (106) CdtProblem
    (107) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 13 ms]
    (108) CdtProblem
    (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms]
    (110) CdtProblem
    (111) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (112) CdtProblem
    (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 11 ms]
    (114) CdtProblem
    (115) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (116) CdtProblem
    (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 49 ms]
    (118) CdtProblem
    (119) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 9 ms]
    (120) CdtProblem
    (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 48 ms]
    (122) CdtProblem
    (123) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 17 ms]
    (124) CdtProblem
    (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 99 ms]
    (126) CdtProblem
    (127) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 149 ms]
    (128) CdtProblem
    (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 7 ms]
    (130) CdtProblem
    (131) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 18 ms]
    (132) CdtProblem
    (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 96 ms]
    (134) CdtProblem
    (135) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 140 ms]
    (136) CdtProblem
    (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 193 ms]
    (138) 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(U11(tt, M, N)) -> mark(U12(tt, M, N))
   active(U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(U21(tt, M, N)) -> mark(U22(tt, M, N))
   active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
   active(plus(N, 0)) -> mark(N)
   active(plus(N, s(M))) -> mark(U11(tt, M, N))
   active(x(N, 0)) -> mark(0)
   active(x(N, s(M))) -> mark(U21(tt, M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   mark(0) -> active(0)
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
   U12(active(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, active(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(X1, X2)
   U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
   U21(active(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, active(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
   U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
   U22(active(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, active(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
   x(mark(X1), X2) -> x(X1, X2)
   x(X1, mark(X2)) -> x(X1, X2)
   x(active(X1), X2) -> x(X1, X2)
   x(X1, active(X2)) -> x(X1, X2)

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(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0


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

(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(U11(tt, M, N)) -> mark(U12(tt, M, N))
   active(U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(U21(tt, M, N)) -> mark(U22(tt, M, N))
   active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
   active(plus(N, 0)) -> mark(N)
   active(plus(N, s(M))) -> mark(U11(tt, M, N))
   active(x(N, 0)) -> mark(0)
   active(x(N, s(M))) -> mark(U21(tt, M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   mark(0) -> active(0)
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
   U12(active(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, active(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(X1, X2)
   U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
   U21(active(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, active(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
   U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
   U22(active(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, active(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
   x(mark(X1), X2) -> x(X1, X2)
   x(X1, mark(X2)) -> x(X1, X2)
   x(active(X1), X2) -> x(X1, X2)
   x(X1, active(X2)) -> x(X1, X2)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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(U11(tt, M, N)) -> mark(U12(tt, M, N))
   active(U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(U21(tt, M, N)) -> mark(U22(tt, M, N))
   active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
   active(plus(N, 0)) -> mark(N)
   active(plus(N, s(M))) -> mark(U11(tt, M, N))
   active(x(N, 0)) -> mark(0)
   active(x(N, s(M))) -> mark(U21(tt, M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   mark(0) -> active(0)
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
   U12(active(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, active(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(X1, X2)
   U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
   U21(active(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, active(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
   U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
   U22(active(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, active(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
   x(mark(X1), X2) -> x(X1, X2)
   x(X1, mark(X2)) -> x(X1, X2)
   x(active(X1), X2) -> x(X1, X2)
   x(X1, active(X2)) -> x(X1, X2)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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(U11(tt, M, N)) -> mark(U12(tt, M, N))
   active(U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(U21(tt, M, N)) -> mark(U22(tt, M, N))
   active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
   active(plus(N, 0)) -> mark(N)
   active(plus(N, s(M))) -> mark(U11(tt, M, N))
   active(x(N, 0)) -> mark(0)
   active(x(N, s(M))) -> mark(U21(tt, M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   mark(0) -> active(0)
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
   U12(active(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, active(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(X1, X2)
   U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
   U21(active(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, active(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
   U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
   U22(active(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, active(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
   x(mark(X1), X2) -> x(X1, X2)
   x(X1, mark(X2)) -> x(X1, X2)
   x(active(X1), X2) -> x(X1, X2)
   x(X1, active(X2)) -> x(X1, X2)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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(U11(tt, M, N)) -> mark(U12(tt, M, N))
   active(U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(U21(tt, M, N)) -> mark(U22(tt, M, N))
   active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
   active(plus(N, 0')) -> mark(N)
   active(plus(N, s(M))) -> mark(U11(tt, M, N))
   active(x(N, 0')) -> mark(0')
   active(x(N, s(M))) -> mark(U21(tt, M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   mark(0') -> active(0')
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
   U12(active(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, active(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(X1, X2)
   U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
   U21(active(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, active(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
   U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
   U22(active(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, active(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
   x(mark(X1), X2) -> x(X1, X2)
   x(X1, mark(X2)) -> x(X1, X2)
   x(active(X1), X2) -> x(X1, X2)
   x(X1, active(X2)) -> x(X1, X2)

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

   encArg(tt) -> tt
   encArg(0') -> 0'
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0'

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

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

(10)
Obligation:
Innermost TRS:
Rules:
active(U11(tt, M, N)) -> mark(U12(tt, M, N))
active(U12(tt, M, N)) -> mark(s(plus(N, M)))
active(U21(tt, M, N)) -> mark(U22(tt, M, N))
active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
active(plus(N, 0')) -> mark(N)
active(plus(N, s(M))) -> mark(U11(tt, M, N))
active(x(N, 0')) -> mark(0')
active(x(N, s(M))) -> mark(U21(tt, M, N))
mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
mark(tt) -> active(tt)
mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
mark(s(X)) -> active(s(mark(X)))
mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
mark(0') -> active(0')
U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
U11(active(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, active(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
U12(active(X1), X2, X3) -> U12(X1, X2, X3)
U12(X1, active(X2), X3) -> U12(X1, X2, X3)
U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
plus(mark(X1), X2) -> plus(X1, X2)
plus(X1, mark(X2)) -> plus(X1, X2)
plus(active(X1), X2) -> plus(X1, X2)
plus(X1, active(X2)) -> plus(X1, X2)
U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
U21(active(X1), X2, X3) -> U21(X1, X2, X3)
U21(X1, active(X2), X3) -> U21(X1, X2, X3)
U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
U22(active(X1), X2, X3) -> U22(X1, X2, X3)
U22(X1, active(X2), X3) -> U22(X1, X2, X3)
U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
x(mark(X1), X2) -> x(X1, X2)
x(X1, mark(X2)) -> x(X1, X2)
x(active(X1), X2) -> x(X1, X2)
x(X1, active(X2)) -> x(X1, X2)
encArg(tt) -> tt
encArg(0') -> 0'
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
encode_active(x_1) -> active(encArg(x_1))
encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encode_tt -> tt
encode_mark(x_1) -> mark(encArg(x_1))
encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
encode_s(x_1) -> s(encArg(x_1))
encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
encode_0 -> 0'

Types:
active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
0' :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encArg :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_0 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
hole_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x1_4 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4 :: Nat -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x

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

(11) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
active, mark, U12, s, plus, U22, x, U11, U21, encArg

They will be analysed ascendingly in the following order:
active = mark
U12 < active
s < active
plus < active
U22 < active
x < active
U11 < active
U21 < active
active < encArg
U12 < mark
s < mark
plus < mark
U22 < mark
x < mark
U11 < mark
U21 < mark
mark < encArg
U12 < encArg
s < encArg
plus < encArg
U22 < encArg
x < encArg
U11 < encArg
U21 < encArg

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

(12)
Obligation:
Innermost TRS:
Rules:
active(U11(tt, M, N)) -> mark(U12(tt, M, N))
active(U12(tt, M, N)) -> mark(s(plus(N, M)))
active(U21(tt, M, N)) -> mark(U22(tt, M, N))
active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
active(plus(N, 0')) -> mark(N)
active(plus(N, s(M))) -> mark(U11(tt, M, N))
active(x(N, 0')) -> mark(0')
active(x(N, s(M))) -> mark(U21(tt, M, N))
mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
mark(tt) -> active(tt)
mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
mark(s(X)) -> active(s(mark(X)))
mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
mark(0') -> active(0')
U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
U11(active(X1), X2, X3) -> U11(X1, X2, X3)
U11(X1, active(X2), X3) -> U11(X1, X2, X3)
U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
U12(active(X1), X2, X3) -> U12(X1, X2, X3)
U12(X1, active(X2), X3) -> U12(X1, X2, X3)
U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
s(mark(X)) -> s(X)
s(active(X)) -> s(X)
plus(mark(X1), X2) -> plus(X1, X2)
plus(X1, mark(X2)) -> plus(X1, X2)
plus(active(X1), X2) -> plus(X1, X2)
plus(X1, active(X2)) -> plus(X1, X2)
U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
U21(active(X1), X2, X3) -> U21(X1, X2, X3)
U21(X1, active(X2), X3) -> U21(X1, X2, X3)
U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
U22(active(X1), X2, X3) -> U22(X1, X2, X3)
U22(X1, active(X2), X3) -> U22(X1, X2, X3)
U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
x(mark(X1), X2) -> x(X1, X2)
x(X1, mark(X2)) -> x(X1, X2)
x(active(X1), X2) -> x(X1, X2)
x(X1, active(X2)) -> x(X1, X2)
encArg(tt) -> tt
encArg(0') -> 0'
encArg(cons_active(x_1)) -> active(encArg(x_1))
encArg(cons_mark(x_1)) -> mark(encArg(x_1))
encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_s(x_1)) -> s(encArg(x_1))
encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
encode_active(x_1) -> active(encArg(x_1))
encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
encode_tt -> tt
encode_mark(x_1) -> mark(encArg(x_1))
encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
encode_s(x_1) -> s(encArg(x_1))
encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
encode_0 -> 0'

Types:
active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
0' :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encArg :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_active :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U11 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_tt :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_mark :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U12 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_s :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_plus :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U21 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U22 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_x :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_0 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
hole_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x1_4 :: tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4 :: Nat -> tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x


Generator Equations:
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(0) <=> tt
gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(+(x, 1)) <=> cons_active(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(x))


The following defined symbols remain to be analysed:
U12, active, mark, s, plus, U22, x, U11, U21, encArg

They will be analysed ascendingly in the following order:
active = mark
U12 < active
s < active
plus < active
U22 < active
x < active
U11 < active
U21 < active
active < encArg
U12 < mark
s < mark
plus < mark
U22 < mark
x < mark
U11 < mark
U21 < mark
mark < encArg
U12 < encArg
s < encArg
plus < encArg
U22 < encArg
x < encArg
U11 < encArg
U21 < encArg

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

(13) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(+(1, n4887_4))) -> *3_4, rt in Omega(0)

Induction Base:
encArg(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(+(1, 0)))

Induction Step:
encArg(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(+(1, +(n4887_4, 1)))) ->_R^Omega(0)
active(encArg(gen_tt:0':cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x2_4(+(1, n4887_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(U11(tt, M, N)) -> mark(U12(tt, M, N))
   active(U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(U21(tt, M, N)) -> mark(U22(tt, M, N))
   active(U22(tt, M, N)) -> mark(plus(x(N, M), N))
   active(plus(N, 0)) -> mark(N)
   active(plus(N, s(M))) -> mark(U11(tt, M, N))
   active(x(N, 0)) -> mark(0)
   active(x(N, s(M))) -> mark(U21(tt, M, N))
   mark(U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   mark(tt) -> active(tt)
   mark(U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   mark(s(X)) -> active(s(mark(X)))
   mark(plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   mark(x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   mark(0) -> active(0)
   U11(mark(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, mark(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, mark(X3)) -> U11(X1, X2, X3)
   U11(active(X1), X2, X3) -> U11(X1, X2, X3)
   U11(X1, active(X2), X3) -> U11(X1, X2, X3)
   U11(X1, X2, active(X3)) -> U11(X1, X2, X3)
   U12(mark(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, mark(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, mark(X3)) -> U12(X1, X2, X3)
   U12(active(X1), X2, X3) -> U12(X1, X2, X3)
   U12(X1, active(X2), X3) -> U12(X1, X2, X3)
   U12(X1, X2, active(X3)) -> U12(X1, X2, X3)
   s(mark(X)) -> s(X)
   s(active(X)) -> s(X)
   plus(mark(X1), X2) -> plus(X1, X2)
   plus(X1, mark(X2)) -> plus(X1, X2)
   plus(active(X1), X2) -> plus(X1, X2)
   plus(X1, active(X2)) -> plus(X1, X2)
   U21(mark(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, mark(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, mark(X3)) -> U21(X1, X2, X3)
   U21(active(X1), X2, X3) -> U21(X1, X2, X3)
   U21(X1, active(X2), X3) -> U21(X1, X2, X3)
   U21(X1, X2, active(X3)) -> U21(X1, X2, X3)
   U22(mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, mark(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, mark(X3)) -> U22(X1, X2, X3)
   U22(active(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, active(X2), X3) -> U22(X1, X2, X3)
   U22(X1, X2, active(X3)) -> U22(X1, X2, X3)
   x(mark(X1), X2) -> x(X1, X2)
   x(X1, mark(X2)) -> x(X1, X2)
   x(active(X1), X2) -> x(X1, X2)
   x(X1, active(X2)) -> x(X1, X2)
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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:

   mark(tt) -> active(tt)
   mark(0) -> active(0)
   U22(X1, X2, c_active(X3)) -> U22(X1, X2, X3)
   U21(c_mark(X1), X2, X3) -> U21(X1, X2, X3)
   U12(X1, c_active(X2), X3) -> U12(X1, X2, X3)
   active(c_U12(tt, M, N)) -> mark(s(plus(N, M)))
   active(c_plus(N, c_s(M))) -> mark(U11(tt, M, N))
   x(c_active(X1), X2) -> x(X1, X2)
   active(c_U11(tt, M, N)) -> mark(U12(tt, M, N))
   U12(X1, X2, c_mark(X3)) -> U12(X1, X2, X3)
   mark(c_U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3)
   mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2)))
   active(c_x(N, 0)) -> mark(0)
   U22(X1, X2, c_mark(X3)) -> U22(X1, X2, X3)
   mark(c_U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3))
   active(c_U21(tt, M, N)) -> mark(U22(tt, M, N))
   x(X1, c_active(X2)) -> x(X1, X2)
   active(c_plus(N, 0)) -> mark(N)
   x(X1, c_mark(X2)) -> x(X1, X2)
   U21(X1, X2, c_mark(X3)) -> U21(X1, X2, X3)
   mark(c_U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3))
   plus(X1, c_mark(X2)) -> plus(X1, X2)
   active(c_x(N, c_s(M))) -> mark(U21(tt, M, N))
   plus(c_active(X1), X2) -> plus(X1, X2)
   mark(c_s(X)) -> active(s(mark(X)))
   U12(c_mark(X1), X2, X3) -> U12(X1, X2, X3)
   x(c_mark(X1), X2) -> x(X1, X2)
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3)
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3)
   active(c_U22(tt, M, N)) -> mark(plus(x(N, M), N))
   s(c_active(X)) -> s(X)
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3)
   U12(c_active(X1), X2, X3) -> U12(X1, X2, X3)
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3))
   U22(X1, c_mark(X2), X3) -> U22(X1, X2, X3)
   U21(X1, c_mark(X2), X3) -> U21(X1, X2, X3)
   s(c_mark(X)) -> s(X)
   plus(c_mark(X1), X2) -> plus(X1, X2)
   U22(c_mark(X1), X2, X3) -> U22(X1, X2, X3)
   U22(X1, c_active(X2), X3) -> U22(X1, X2, X3)
   U21(X1, X2, c_active(X3)) -> U21(X1, X2, X3)
   U21(c_active(X1), X2, X3) -> U21(X1, X2, X3)
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3)
   U12(X1, X2, c_active(X3)) -> U12(X1, X2, X3)
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3)
   U21(X1, c_active(X2), X3) -> U21(X1, X2, X3)
   plus(X1, c_active(X2)) -> plus(X1, X2)
   U22(c_active(X1), X2, X3) -> U22(X1, X2, X3)
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2)))
   U12(X1, c_mark(X2), X3) -> U12(X1, X2, X3)

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

   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(x_1)) -> active(encArg(x_1))
   encArg(cons_mark(x_1)) -> mark(encArg(x_1))
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_s(x_1)) -> s(encArg(x_1))
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2))
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2))
   encode_active(x_1) -> active(encArg(x_1))
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_tt -> tt
   encode_mark(x_1) -> mark(encArg(x_1))
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_s(x_1) -> s(encArg(x_1))
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2))
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3))
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   s(x0) -> c_s(x0)
   active(x0) -> c_active(x0)
   plus(x0, x1) -> c_plus(x0, x1)
   U12(x0, x1, x2) -> c_U12(x0, x1, x2)
   U22(x0, x1, x2) -> c_U22(x0, x1, x2)
   x(x0, x1) -> c_x(x0, x1)
   U21(x0, x1, x2) -> c_U21(x0, x1, x2)
   U11(x0, x1, x2) -> c_U11(x0, x1, x2)
   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:

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   U22(X1, X2, c_active(X3)) -> U22(X1, X2, X3) [1]
   U21(c_mark(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U12(X1, c_active(X2), X3) -> U12(X1, X2, X3) [1]
   active(c_U12(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_plus(N, c_s(M))) -> mark(U11(tt, M, N)) [1]
   x(c_active(X1), X2) -> x(X1, X2) [1]
   active(c_U11(tt, M, N)) -> mark(U12(tt, M, N)) [1]
   U12(X1, X2, c_mark(X3)) -> U12(X1, X2, X3) [1]
   mark(c_U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3)) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1]
   active(c_x(N, 0)) -> mark(0) [1]
   U22(X1, X2, c_mark(X3)) -> U22(X1, X2, X3) [1]
   mark(c_U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) [1]
   active(c_U21(tt, M, N)) -> mark(U22(tt, M, N)) [1]
   x(X1, c_active(X2)) -> x(X1, X2) [1]
   active(c_plus(N, 0)) -> mark(N) [1]
   x(X1, c_mark(X2)) -> x(X1, X2) [1]
   U21(X1, X2, c_mark(X3)) -> U21(X1, X2, X3) [1]
   mark(c_U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3)) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_x(N, c_s(M))) -> mark(U21(tt, M, N)) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U12(c_mark(X1), X2, X3) -> U12(X1, X2, X3) [1]
   x(c_mark(X1), X2) -> x(X1, X2) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   active(c_U22(tt, M, N)) -> mark(plus(x(N, M), N)) [1]
   s(c_active(X)) -> s(X) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(c_active(X1), X2, X3) -> U12(X1, X2, X3) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   U22(X1, c_mark(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, c_mark(X2), X3) -> U21(X1, X2, X3) [1]
   s(c_mark(X)) -> s(X) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   U22(c_mark(X1), X2, X3) -> U22(X1, X2, X3) [1]
   U22(X1, c_active(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, X2, c_active(X3)) -> U21(X1, X2, X3) [1]
   U21(c_active(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   U12(X1, X2, c_active(X3)) -> U12(X1, X2, X3) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   U21(X1, c_active(X2), X3) -> U21(X1, X2, X3) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   U22(c_active(X1), X2, X3) -> U22(X1, X2, X3) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   U12(X1, c_mark(X2), X3) -> U12(X1, X2, X3) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1, x2) -> c_U12(x0, x1, x2) [0]
   U22(x0, x1, x2) -> c_U22(x0, x1, x2) [0]
   x(x0, x1) -> c_x(x0, x1) [0]
   U21(x0, x1, x2) -> c_U21(x0, x1, x2) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [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:

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   U22(X1, X2, c_active(X3)) -> U22(X1, X2, X3) [1]
   U21(c_mark(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U12(X1, c_active(X2), X3) -> U12(X1, X2, X3) [1]
   active(c_U12(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_plus(N, c_s(M))) -> mark(U11(tt, M, N)) [1]
   x(c_active(X1), X2) -> x(X1, X2) [1]
   active(c_U11(tt, M, N)) -> mark(U12(tt, M, N)) [1]
   U12(X1, X2, c_mark(X3)) -> U12(X1, X2, X3) [1]
   mark(c_U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3)) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1]
   active(c_x(N, 0)) -> mark(0) [1]
   U22(X1, X2, c_mark(X3)) -> U22(X1, X2, X3) [1]
   mark(c_U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) [1]
   active(c_U21(tt, M, N)) -> mark(U22(tt, M, N)) [1]
   x(X1, c_active(X2)) -> x(X1, X2) [1]
   active(c_plus(N, 0)) -> mark(N) [1]
   x(X1, c_mark(X2)) -> x(X1, X2) [1]
   U21(X1, X2, c_mark(X3)) -> U21(X1, X2, X3) [1]
   mark(c_U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3)) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_x(N, c_s(M))) -> mark(U21(tt, M, N)) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U12(c_mark(X1), X2, X3) -> U12(X1, X2, X3) [1]
   x(c_mark(X1), X2) -> x(X1, X2) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   active(c_U22(tt, M, N)) -> mark(plus(x(N, M), N)) [1]
   s(c_active(X)) -> s(X) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(c_active(X1), X2, X3) -> U12(X1, X2, X3) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   U22(X1, c_mark(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, c_mark(X2), X3) -> U21(X1, X2, X3) [1]
   s(c_mark(X)) -> s(X) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   U22(c_mark(X1), X2, X3) -> U22(X1, X2, X3) [1]
   U22(X1, c_active(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, X2, c_active(X3)) -> U21(X1, X2, X3) [1]
   U21(c_active(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   U12(X1, X2, c_active(X3)) -> U12(X1, X2, X3) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   U21(X1, c_active(X2), X3) -> U21(X1, X2, X3) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   U22(c_active(X1), X2, X3) -> U22(X1, X2, X3) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   U12(X1, c_mark(X2), X3) -> U12(X1, X2, X3) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1, x2) -> c_U12(x0, x1, x2) [0]
   U22(x0, x1, x2) -> c_U22(x0, x1, x2) [0]
   x(x0, x1) -> c_x(x0, x1) [0]
   U21(x0, x1, x2) -> c_U21(x0, x1, x2) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   mark(x0) -> c_mark(x0) [0]

The TRS has the following type information:
mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
c_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encArg :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
cons_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x
encode_0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x

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_U11_3
   encode_tt
   encode_mark_1
   encode_U12_3
   encode_s_1
   encode_plus_2
   encode_U21_3
   encode_U22_3
   encode_x_2
   encode_0
   s_1
   active_1
   plus_2
   U12_3
   U22_3
   x_2
   U21_3
   U11_3
   mark_1

Due to the following rules being added:

   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1, v2) -> null_encode_U12 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_U21(v0, v1, v2) -> null_encode_U21 [0]
   encode_U22(v0, v1, v2) -> null_encode_U22 [0]
   encode_x(v0, v1) -> null_encode_x [0]
   encode_0 -> null_encode_0 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1, v2) -> null_U12 [0]
   U22(v0, v1, v2) -> null_U22 [0]
   x(v0, v1) -> null_x [0]
   U21(v0, v1, v2) -> null_U21 [0]
   U11(v0, v1, v2) -> null_U11 [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_U11, null_encode_tt, null_encode_mark, null_encode_U12, null_encode_s, null_encode_plus, null_encode_U21, null_encode_U22, null_encode_x, null_encode_0, null_s, null_active, null_plus, null_U12, null_U22, null_x, null_U21, null_U11, 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:

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   U22(X1, X2, c_active(X3)) -> U22(X1, X2, X3) [1]
   U21(c_mark(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U12(X1, c_active(X2), X3) -> U12(X1, X2, X3) [1]
   active(c_U12(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_plus(N, c_s(M))) -> mark(U11(tt, M, N)) [1]
   x(c_active(X1), X2) -> x(X1, X2) [1]
   active(c_U11(tt, M, N)) -> mark(U12(tt, M, N)) [1]
   U12(X1, X2, c_mark(X3)) -> U12(X1, X2, X3) [1]
   mark(c_U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3)) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1]
   active(c_x(N, 0)) -> mark(0) [1]
   U22(X1, X2, c_mark(X3)) -> U22(X1, X2, X3) [1]
   mark(c_U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) [1]
   active(c_U21(tt, M, N)) -> mark(U22(tt, M, N)) [1]
   x(X1, c_active(X2)) -> x(X1, X2) [1]
   active(c_plus(N, 0)) -> mark(N) [1]
   x(X1, c_mark(X2)) -> x(X1, X2) [1]
   U21(X1, X2, c_mark(X3)) -> U21(X1, X2, X3) [1]
   mark(c_U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3)) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_x(N, c_s(M))) -> mark(U21(tt, M, N)) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U12(c_mark(X1), X2, X3) -> U12(X1, X2, X3) [1]
   x(c_mark(X1), X2) -> x(X1, X2) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   active(c_U22(tt, M, N)) -> mark(plus(x(N, M), N)) [1]
   s(c_active(X)) -> s(X) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(c_active(X1), X2, X3) -> U12(X1, X2, X3) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   U22(X1, c_mark(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, c_mark(X2), X3) -> U21(X1, X2, X3) [1]
   s(c_mark(X)) -> s(X) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   U22(c_mark(X1), X2, X3) -> U22(X1, X2, X3) [1]
   U22(X1, c_active(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, X2, c_active(X3)) -> U21(X1, X2, X3) [1]
   U21(c_active(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   U12(X1, X2, c_active(X3)) -> U12(X1, X2, X3) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   U21(X1, c_active(X2), X3) -> U21(X1, X2, X3) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   U22(c_active(X1), X2, X3) -> U22(X1, X2, X3) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   U12(X1, c_mark(X2), X3) -> U12(X1, X2, X3) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1, x2) -> c_U12(x0, x1, x2) [0]
   U22(x0, x1, x2) -> c_U22(x0, x1, x2) [0]
   x(x0, x1) -> c_x(x0, x1) [0]
   U21(x0, x1, x2) -> c_U21(x0, x1, x2) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1, v2) -> null_encode_U12 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_U21(v0, v1, v2) -> null_encode_U21 [0]
   encode_U22(v0, v1, v2) -> null_encode_U22 [0]
   encode_x(v0, v1) -> null_encode_x [0]
   encode_0 -> null_encode_0 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1, v2) -> null_U12 [0]
   U22(v0, v1, v2) -> null_U22 [0]
   x(v0, v1) -> null_x [0]
   U21(v0, v1, v2) -> null_U21 [0]
   U11(v0, v1, v2) -> null_U11 [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
c_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
c_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
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cons_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encArg :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark

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

(25) 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_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1, v2) -> null_encode_U12 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_U21(v0, v1, v2) -> null_encode_U21 [0]
   encode_U22(v0, v1, v2) -> null_encode_U22 [0]
   encode_x(v0, v1) -> null_encode_x [0]
   encode_0 -> null_encode_0 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1, v2) -> null_U12 [0]
   U22(v0, v1, v2) -> null_U22 [0]
   x(v0, v1) -> null_x [0]
   U21(v0, v1, v2) -> null_U21 [0]
   U11(v0, v1, v2) -> null_U11 [0]
   mark(v0) -> null_mark [0]

And the following fresh constants:    null_encArg, null_encode_active, null_encode_U11, null_encode_tt, null_encode_mark, null_encode_U12, null_encode_s, null_encode_plus, null_encode_U21, null_encode_U22, null_encode_x, null_encode_0, null_s, null_active, null_plus, null_U12, null_U22, null_x, null_U21, null_U11, null_mark

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

(26)
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:

   mark(tt) -> active(tt) [1]
   mark(0) -> active(0) [1]
   U22(X1, X2, c_active(X3)) -> U22(X1, X2, X3) [1]
   U21(c_mark(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U12(X1, c_active(X2), X3) -> U12(X1, X2, X3) [1]
   active(c_U12(tt, M, N)) -> mark(s(plus(N, M))) [1]
   active(c_plus(N, c_s(M))) -> mark(U11(tt, M, N)) [1]
   x(c_active(X1), X2) -> x(X1, X2) [1]
   active(c_U11(tt, M, N)) -> mark(U12(tt, M, N)) [1]
   U12(X1, X2, c_mark(X3)) -> U12(X1, X2, X3) [1]
   mark(c_U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3)) [1]
   U11(c_mark(X1), X2, X3) -> U11(X1, X2, X3) [1]
   mark(c_x(X1, X2)) -> active(x(mark(X1), mark(X2))) [1]
   active(c_x(N, 0)) -> mark(0) [1]
   U22(X1, X2, c_mark(X3)) -> U22(X1, X2, X3) [1]
   mark(c_U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) [1]
   active(c_U21(tt, M, N)) -> mark(U22(tt, M, N)) [1]
   x(X1, c_active(X2)) -> x(X1, X2) [1]
   active(c_plus(N, 0)) -> mark(N) [1]
   x(X1, c_mark(X2)) -> x(X1, X2) [1]
   U21(X1, X2, c_mark(X3)) -> U21(X1, X2, X3) [1]
   mark(c_U12(X1, X2, X3)) -> active(U12(mark(X1), X2, X3)) [1]
   plus(X1, c_mark(X2)) -> plus(X1, X2) [1]
   active(c_x(N, c_s(M))) -> mark(U21(tt, M, N)) [1]
   plus(c_active(X1), X2) -> plus(X1, X2) [1]
   mark(c_s(X)) -> active(s(mark(X))) [1]
   U12(c_mark(X1), X2, X3) -> U12(X1, X2, X3) [1]
   x(c_mark(X1), X2) -> x(X1, X2) [1]
   U11(X1, c_mark(X2), X3) -> U11(X1, X2, X3) [1]
   U11(c_active(X1), X2, X3) -> U11(X1, X2, X3) [1]
   active(c_U22(tt, M, N)) -> mark(plus(x(N, M), N)) [1]
   s(c_active(X)) -> s(X) [1]
   U11(X1, c_active(X2), X3) -> U11(X1, X2, X3) [1]
   U12(c_active(X1), X2, X3) -> U12(X1, X2, X3) [1]
   mark(c_U11(X1, X2, X3)) -> active(U11(mark(X1), X2, X3)) [1]
   U22(X1, c_mark(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, c_mark(X2), X3) -> U21(X1, X2, X3) [1]
   s(c_mark(X)) -> s(X) [1]
   plus(c_mark(X1), X2) -> plus(X1, X2) [1]
   U22(c_mark(X1), X2, X3) -> U22(X1, X2, X3) [1]
   U22(X1, c_active(X2), X3) -> U22(X1, X2, X3) [1]
   U21(X1, X2, c_active(X3)) -> U21(X1, X2, X3) [1]
   U21(c_active(X1), X2, X3) -> U21(X1, X2, X3) [1]
   U11(X1, X2, c_mark(X3)) -> U11(X1, X2, X3) [1]
   U12(X1, X2, c_active(X3)) -> U12(X1, X2, X3) [1]
   U11(X1, X2, c_active(X3)) -> U11(X1, X2, X3) [1]
   U21(X1, c_active(X2), X3) -> U21(X1, X2, X3) [1]
   plus(X1, c_active(X2)) -> plus(X1, X2) [1]
   U22(c_active(X1), X2, X3) -> U22(X1, X2, X3) [1]
   mark(c_plus(X1, X2)) -> active(plus(mark(X1), mark(X2))) [1]
   U12(X1, c_mark(X2), X3) -> U12(X1, X2, X3) [1]
   encArg(tt) -> tt [0]
   encArg(0) -> 0 [0]
   encArg(cons_active(x_1)) -> active(encArg(x_1)) [0]
   encArg(cons_mark(x_1)) -> mark(encArg(x_1)) [0]
   encArg(cons_U11(x_1, x_2, x_3)) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U12(x_1, x_2, x_3)) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_s(x_1)) -> s(encArg(x_1)) [0]
   encArg(cons_plus(x_1, x_2)) -> plus(encArg(x_1), encArg(x_2)) [0]
   encArg(cons_U21(x_1, x_2, x_3)) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_U22(x_1, x_2, x_3)) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encArg(cons_x(x_1, x_2)) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_active(x_1) -> active(encArg(x_1)) [0]
   encode_U11(x_1, x_2, x_3) -> U11(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_tt -> tt [0]
   encode_mark(x_1) -> mark(encArg(x_1)) [0]
   encode_U12(x_1, x_2, x_3) -> U12(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_s(x_1) -> s(encArg(x_1)) [0]
   encode_plus(x_1, x_2) -> plus(encArg(x_1), encArg(x_2)) [0]
   encode_U21(x_1, x_2, x_3) -> U21(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_U22(x_1, x_2, x_3) -> U22(encArg(x_1), encArg(x_2), encArg(x_3)) [0]
   encode_x(x_1, x_2) -> x(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   s(x0) -> c_s(x0) [0]
   active(x0) -> c_active(x0) [0]
   plus(x0, x1) -> c_plus(x0, x1) [0]
   U12(x0, x1, x2) -> c_U12(x0, x1, x2) [0]
   U22(x0, x1, x2) -> c_U22(x0, x1, x2) [0]
   x(x0, x1) -> c_x(x0, x1) [0]
   U21(x0, x1, x2) -> c_U21(x0, x1, x2) [0]
   U11(x0, x1, x2) -> c_U11(x0, x1, x2) [0]
   mark(x0) -> c_mark(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_active(v0) -> null_encode_active [0]
   encode_U11(v0, v1, v2) -> null_encode_U11 [0]
   encode_tt -> null_encode_tt [0]
   encode_mark(v0) -> null_encode_mark [0]
   encode_U12(v0, v1, v2) -> null_encode_U12 [0]
   encode_s(v0) -> null_encode_s [0]
   encode_plus(v0, v1) -> null_encode_plus [0]
   encode_U21(v0, v1, v2) -> null_encode_U21 [0]
   encode_U22(v0, v1, v2) -> null_encode_U22 [0]
   encode_x(v0, v1) -> null_encode_x [0]
   encode_0 -> null_encode_0 [0]
   s(v0) -> null_s [0]
   active(v0) -> null_active [0]
   plus(v0, v1) -> null_plus [0]
   U12(v0, v1, v2) -> null_U12 [0]
   U22(v0, v1, v2) -> null_U22 [0]
   x(v0, v1) -> null_x [0]
   U21(v0, v1, v2) -> null_U21 [0]
   U11(v0, v1, v2) -> null_U11 [0]
   mark(v0) -> null_mark [0]

The TRS has the following type information:
mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
c_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
c_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
c_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
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encode_tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark -> tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
encode_0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encArg :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_tt :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_encode_0 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_s :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_active :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_plus :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U12 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U22 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_x :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U21 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_U11 :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11:null_mark
null_mark :: tt:0:c_active:c_mark:c_U12:c_s:c_plus:c_U11:c_U22:c_x:c_U21:cons_active:cons_mark:cons_U11:cons_U12:cons_s:cons_plus:cons_U21:cons_U22:cons_x:null_encArg:null_encode_active:null_encode_U11:null_encode_tt:null_encode_mark:null_encode_U12:null_encode_s:null_encode_plus:null_encode_U21:null_encode_U22:null_encode_x:null_encode_0:null_s:null_active:null_plus:null_U12:null_U22:null_x:null_U21:null_U11: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:

   tt => 1
   0 => 0
   null_encArg => 0
   null_encode_active => 0
   null_encode_U11 => 0
   null_encode_tt => 0
   null_encode_mark => 0
   null_encode_U12 => 0
   null_encode_s => 0
   null_encode_plus => 0
   null_encode_U21 => 0
   null_encode_U22 => 0
   null_encode_x => 0
   null_encode_0 => 0
   null_s => 0
   null_active => 0
   null_plus => 0
   null_U12 => 0
   null_U22 => 0
   null_x => 0
   null_U21 => 0
   null_U11 => 0
   null_mark => 0

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

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

   U11(z, z', z'') -{ 1 }-> U11(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   U11(z, z', z'') -{ 1 }-> U11(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   U11(z, z', z'') -{ 1 }-> U11(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U11(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   U11(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   U12(z, z', z'') -{ 1 }-> U12(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   U12(z, z', z'') -{ 1 }-> U12(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U12(z, z', z'') -{ 1 }-> U12(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   U12(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   U12(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   U21(z, z', z'') -{ 1 }-> U21(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   U21(z, z', z'') -{ 1 }-> U21(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U21(z, z', z'') -{ 1 }-> U21(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   U21(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   U21(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   U22(z, z', z'') -{ 1 }-> U22(X1, X2, X3) :|: X1 >= 0, X3 >= 0, X2 >= 0, z = X1, z' = X2, z'' = 1 + X3
   U22(z, z', z'') -{ 1 }-> U22(X1, X2, X3) :|: X1 >= 0, X3 >= 0, z' = 1 + X2, X2 >= 0, z = X1, z'' = X3
   U22(z, z', z'') -{ 1 }-> U22(X1, X2, X3) :|: X1 >= 0, z = 1 + X1, X3 >= 0, X2 >= 0, z' = X2, z'' = X3
   U22(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   U22(z, z', z'') -{ 0 }-> 1 + x0 + x1 + x2 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1, z'' = x2, x2 >= 0
   active(z) -{ 1 }-> mark(N) :|: z = 1 + N + 0, N >= 0
   active(z) -{ 1 }-> mark(s(plus(N, M))) :|: z = 1 + 1 + M + N, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(plus(x(N, M), N)) :|: z = 1 + 1 + M + N, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(U22(1, M, N)) :|: z = 1 + 1 + M + N, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(U21(1, M, N)) :|: M >= 0, z = 1 + N + (1 + M), N >= 0
   active(z) -{ 1 }-> mark(U12(1, M, N)) :|: z = 1 + 1 + M + N, M >= 0, N >= 0
   active(z) -{ 1 }-> mark(U11(1, M, N)) :|: M >= 0, z = 1 + N + (1 + M), N >= 0
   active(z) -{ 1 }-> mark(0) :|: z = 1 + N + 0, N >= 0
   active(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   active(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> x(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> s(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> plus(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encArg(z) -{ 0 }-> mark(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> active(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> U22(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 }-> U21(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 }-> U12(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 }-> U11(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 }-> 1 :|: z = 1
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_0 -{ 0 }-> 0 :|: 
   encode_U11(z, z', z'') -{ 0 }-> U11(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_U11(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   encode_U12(z, z', z'') -{ 0 }-> U12(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_U12(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   encode_U21(z, z', z'') -{ 0 }-> U21(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_U21(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 0
   encode_U22(z, z', z'') -{ 0 }-> U22(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_U22(z, z', z'') -{ 0 }-> 0 :|: v0 >= 0, z'' = v2, v1 >= 0, z = v0, z' = v1, v2 >= 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_mark(z) -{ 0 }-> mark(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_mark(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_plus(z, z') -{ 0 }-> plus(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_plus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_s(z) -{ 0 }-> s(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_s(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_tt -{ 0 }-> 1 :|: 
   encode_tt -{ 0 }-> 0 :|: 
   encode_x(z, z') -{ 0 }-> x(encArg(x_1), encArg(x_2)) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_x(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   mark(z) -{ 1 }-> active(x(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(s(mark(X))) :|: z = 1 + X, X >= 0
   mark(z) -{ 1 }-> active(plus(mark(X1), mark(X2))) :|: X1 >= 0, X2 >= 0, z = 1 + X1 + X2
   mark(z) -{ 1 }-> active(U22(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 1 }-> active(U21(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 1 }-> active(U12(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   mark(z) -{ 1 }-> active(U11(mark(X1), X2, X3)) :|: X1 >= 0, X3 >= 0, z = 1 + X1 + X2 + X3, X2 >= 0
   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
   plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   plus(z, z') -{ 1 }-> plus(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   plus(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   plus(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1
   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
   x(z, z') -{ 1 }-> x(X1, X2) :|: X1 >= 0, z = 1 + X1, X2 >= 0, z' = X2
   x(z, z') -{ 1 }-> x(X1, X2) :|: X1 >= 0, z' = 1 + X2, X2 >= 0, z = X1
   x(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   x(z, z') -{ 0 }-> 1 + x0 + x1 :|: z = x0, x0 >= 0, x1 >= 0, z' = x1

Only complete derivations are relevant for the runtime complexity.

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

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

(30)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1, z2) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_U21(z0, z1, z2) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encode_U22(z0, z1, z2) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encode_x(z0, z1) -> x(encArg(z0), encArg(z1))
   encode_0 -> 0
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(tt) -> c
   ENCARG(0) -> c1
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ACTIVE(z0) -> c11(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c12(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_TT -> c13
   ENCODE_MARK(z0) -> c14(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c15(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_S(z0) -> c16(S(encArg(z0)), ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c17(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c18(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_U22(z0, z1, z2) -> c19(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_X(z0, z1) -> c20(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_0 -> c21
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c31(ACTIVE(tt))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(0) -> c38(ACTIVE(0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c31(ACTIVE(tt))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(0) -> c38(ACTIVE(0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_3, encode_s_1, encode_plus_2, encode_U21_3, encode_U22_3, encode_x_2, encode_0

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_TT, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCODE_0, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2

Compound Symbols:   c, c1, c2_2, c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c11_2, c12_4, c13, c14_2, c15_4, c16_2, c17_3, c18_4, c19_4, c20_3, c21, c22_2, c23_3, c24_2, c25_3, c26_1, c27_2, c28_1, c29_2, c30_3, c31_1, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1


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

(31) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 4 trailing nodes:
   ENCARG(tt) -> c
   ENCARG(0) -> c1
   ENCODE_TT -> c13
   ENCODE_0 -> c21

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

(32)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1, z2) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_U21(z0, z1, z2) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encode_U22(z0, z1, z2) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encode_x(z0, z1) -> x(encArg(z0), encArg(z1))
   encode_0 -> 0
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ACTIVE(z0) -> c11(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c12(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_MARK(z0) -> c14(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c15(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_S(z0) -> c16(S(encArg(z0)), ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c17(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c18(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_U22(z0, z1, z2) -> c19(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_X(z0, z1) -> c20(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c31(ACTIVE(tt))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(0) -> c38(ACTIVE(0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), S(plus(z1, z0)), PLUS(z1, z0))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), PLUS(x(z1, z0), z1), X(z1, z0))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(tt) -> c31(ACTIVE(tt))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(0) -> c38(ACTIVE(0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_3, encode_s_1, encode_plus_2, encode_U21_3, encode_U22_3, encode_x_2, encode_0

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2

Compound Symbols:   c2_2, c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c11_2, c12_4, c14_2, c15_4, c16_2, c17_3, c18_4, c19_4, c20_3, c22_2, c23_3, c24_2, c25_3, c26_1, c27_2, c28_1, c29_2, c30_3, c31_1, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c38_1, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1


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

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

(34)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1, z2) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_U21(z0, z1, z2) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encode_U22(z0, z1, z2) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encode_x(z0, z1) -> x(encArg(z0), encArg(z1))
   encode_0 -> 0
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_ACTIVE(z0) -> c11(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c12(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_MARK(z0) -> c14(MARK(encArg(z0)), ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c15(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_S(z0) -> c16(S(encArg(z0)), ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c17(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c18(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_U22(z0, z1, z2) -> c19(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCODE_X(z0, z1) -> c20(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_3, encode_s_1, encode_plus_2, encode_U21_3, encode_U22_3, encode_x_2, encode_0

Defined Pair Symbols:   ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2

Compound Symbols:   c2_2, c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c11_2, c12_4, c14_2, c15_4, c16_2, c17_3, c18_4, c19_4, c20_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38


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

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1, z2) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_U21(z0, z1, z2) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encode_U22(z0, z1, z2) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encode_x(z0, z1) -> x(encArg(z0), encArg(z1))
   encode_0 -> 0
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U12(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U12(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U21(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U21(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U22(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U22(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   ENCODE_X(z0, z1) -> c(ENCARG(z0))
   ENCODE_X(z0, z1) -> c(ENCARG(z1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_3, encode_s_1, encode_plus_2, encode_U21_3, encode_U22_3, encode_x_2, encode_0

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c2_2, c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1


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

(37) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 19 leading nodes:
   ENCODE_ACTIVE(z0) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U11(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_MARK(z0) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U12(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U12(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_S(z0) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z0))
   ENCODE_PLUS(z0, z1) -> c(ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U21(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U21(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_U22(z0, z1, z2) -> c(ENCARG(z0))
   ENCODE_U22(z0, z1, z2) -> c(ENCARG(z1))
   ENCODE_U22(z0, z1, z2) -> c(ENCARG(z2))
   ENCODE_X(z0, z1) -> c(ENCARG(z0))
   ENCODE_X(z0, z1) -> c(ENCARG(z1))

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1, z2) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_U21(z0, z1, z2) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encode_U22(z0, z1, z2) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encode_x(z0, z1) -> x(encArg(z0), encArg(z1))
   encode_0 -> 0
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2, encArg_1, encode_active_1, encode_U11_3, encode_tt, encode_mark_1, encode_U12_3, encode_s_1, encode_plus_2, encode_U21_3, encode_U22_3, encode_x_2, encode_0

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c2_2, c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1


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

(39) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_active(z0) -> active(encArg(z0))
   encode_U11(z0, z1, z2) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encode_tt -> tt
   encode_mark(z0) -> mark(encArg(z0))
   encode_U12(z0, z1, z2) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encode_s(z0) -> s(encArg(z0))
   encode_plus(z0, z1) -> plus(encArg(z0), encArg(z1))
   encode_U21(z0, z1, z2) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encode_U22(z0, z1, z2) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encode_x(z0, z1) -> x(encArg(z0), encArg(z1))
   encode_0 -> 0

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0))
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c2_2, c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1


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

(41) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(z0)) -> c2(ACTIVE(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt))
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2


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(43) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_active(0)) -> c2(ACTIVE(0), ENCARG(0))
   ENCARG(cons_active(tt)) -> c2(ACTIVE(tt), ENCARG(tt))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0))
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c3_2, c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2


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

(45) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_mark(z0)) -> c3(MARK(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_mark(tt)) -> c3(MARK(tt), ENCARG(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0), ENCARG(0))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt), ENCARG(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0), ENCARG(0))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2


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

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c4_4, c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U11(z0, z1, z2)) -> c4(U11'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4


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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c5_4, c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3


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(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U12(z0, z1, z2)) -> c5(U12'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4


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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0))
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c6_2, c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_s(z0)) -> c6(S(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_s(tt)) -> c6(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c6(S(0), ENCARG(0))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_s(tt)) -> c6(S(tt), ENCARG(tt))
   ENCARG(cons_s(0)) -> c6(S(0), ENCARG(0))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2


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

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

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c7_3, c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_plus(z0, z1)) -> c7(PLUS(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3


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

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c8_4, c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2


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(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U21(z0, z1, z2)) -> c8(U21'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4


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

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2))
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c9_4, c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_U22(z0, z1, z2)) -> c9(U22'(encArg(z0), encArg(z1), encArg(z2)), ENCARG(z0), ENCARG(z1), ENCARG(z2)) by 
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1), ENCARG(tt))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1), ENCARG(0))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(tt), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(0), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(tt), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(0), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4


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

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1))
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ENCARG_1, ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c10_3, c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3


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(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_x(z0, z1)) -> c10(X(encArg(z0), encArg(z1)), ENCARG(z0), ENCARG(z1)) by 
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0), ENCARG(tt))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0), ENCARG(0))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(tt), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(0), ENCARG(x1))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3


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

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c30_3, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(mark(z0), z1, z2)), U11'(mark(z0), z1, z2), MARK(z0)) by 
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c32_3, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1


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

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(mark(z0), z1, z2)), U12'(mark(z0), z1, z2), MARK(z0)) by 
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c33_3, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(s(z0)) -> c33(ACTIVE(s(mark(z0))), S(mark(z0)), MARK(z0)) by 
   MARK(s(z0)) -> c33(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(z0)) -> c33(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(z0)) -> c33(ACTIVE(s(z0)), S(mark(z0)), MARK(z0))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3


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

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c34_4, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(plus(z0, z1)) -> c34(ACTIVE(plus(mark(z0), mark(z1))), PLUS(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by 
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c35_3, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4


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(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(mark(z0), z1, z2)), U21'(mark(z0), z1, z2), MARK(z0)) by 
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c36_3, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(mark(z0), z1, z2)), U22'(mark(z0), z1, z2), MARK(z0)) by 
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, MARK_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c37_4, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1


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(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace MARK(x(z0, z1)) -> c37(ACTIVE(x(mark(z0), mark(z1))), X(mark(z0), mark(z1)), MARK(z0), MARK(z1)) by 
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0)))
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_ACTIVE(z0) -> c(ACTIVE(encArg(z0))) by 
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(95) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCODE_ACTIVE(tt) -> c(ACTIVE(tt))
   ENCODE_ACTIVE(0) -> c(ACTIVE(0))

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U11(z0, z1, z2) -> c(U11'(encArg(z0), encArg(z1), encArg(z2))) by 
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_MARK(z0) -> c(MARK(encArg(z0)))
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(99) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_MARK(z0) -> c(MARK(encArg(z0))) by 
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(tt) -> c(MARK(tt))
   ENCODE_MARK(0) -> c(MARK(0))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

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

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(103) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U12(z0, z1, z2) -> c(U12'(encArg(z0), encArg(z1), encArg(z2))) by 
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_S(z0) -> c(S(encArg(z0)))
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_S(z0) -> c(S(encArg(z0))) by 
   ENCODE_S(tt) -> c(S(tt))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(tt) -> c(S(tt))
   ENCODE_S(0) -> c(S(0))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

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

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1)))
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(109) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_PLUS(z0, z1) -> c(PLUS(encArg(z0), encArg(z1))) by 
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(111) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U21(z0, z1, z2) -> c(U21'(encArg(z0), encArg(z1), encArg(z2))) by 
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2)))
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_U22_3, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_U22(z0, z1, z2) -> c(U22'(encArg(z0), encArg(z1), encArg(z2))) by 
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1)))
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCODE_X_2, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c_1, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4


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

(115) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_X(z0, z1) -> c(X(encArg(z0), encArg(z1))) by 
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   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_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1


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

(117) 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(tt))) -> c2(ACTIVE(active(tt)), ENCARG(cons_active(tt)))
   ENCARG(cons_active(cons_active(0))) -> c2(ACTIVE(active(0)), ENCARG(cons_active(0)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCARG(cons_active(cons_active(tt))) -> c2(ACTIVE(active(tt)), ENCARG(cons_active(tt)))
   ENCARG(cons_active(cons_active(0))) -> c2(ACTIVE(active(0)), ENCARG(cons_active(0)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1


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

(119) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 2 trailing nodes:
   ENCARG(cons_active(cons_active(0))) -> c2(ACTIVE(active(0)), ENCARG(cons_active(0)))
   ENCARG(cons_active(cons_active(tt))) -> c2(ACTIVE(active(tt)), ENCARG(cons_active(tt)))

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_mark(z0))) -> c2(ACTIVE(mark(encArg(z0))), ENCARG(cons_mark(z0)))
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_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(tt))) -> c2(ACTIVE(mark(tt)), ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c2(ACTIVE(mark(0)), ENCARG(cons_mark(0)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c2(ACTIVE(mark(tt)), ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c2(ACTIVE(mark(0)), ENCARG(cons_mark(0)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1


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

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1


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

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_U11(z0, z1, z2))) -> c2(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2))) by 
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1


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

(127) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_U12(z0, z1, z2))) -> c2(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2))) by 
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_s(z0))) -> c2(ACTIVE(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_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(tt))) -> c2(ACTIVE(s(tt)), ENCARG(cons_s(tt)))
   ENCARG(cons_active(cons_s(0))) -> c2(ACTIVE(s(0)), ENCARG(cons_s(0)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(s(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(s(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(s(plus(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_s(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(s(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(s(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_x(z0, z1)))) -> c2(ACTIVE(s(x(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_x(z0, z1))))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_s(tt))) -> c2(ACTIVE(s(tt)), ENCARG(cons_s(tt)))
   ENCARG(cons_active(cons_s(0))) -> c2(ACTIVE(s(0)), ENCARG(cons_s(0)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(s(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(s(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(s(plus(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_s(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(s(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(s(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_x(z0, z1)))) -> c2(ACTIVE(s(x(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_x(z0, z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1


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

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

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(s(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(s(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(s(plus(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_s(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(s(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(s(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_x(z0, z1)))) -> c2(ACTIVE(s(x(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_x(z0, z1))))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1


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

(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_plus(z0, z1))) -> c2(ACTIVE(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1))) by 
   ENCARG(cons_active(cons_plus(x0, tt))) -> c2(ACTIVE(plus(encArg(x0), tt)), ENCARG(cons_plus(x0, tt)))
   ENCARG(cons_active(cons_plus(x0, 0))) -> c2(ACTIVE(plus(encArg(x0), 0)), ENCARG(cons_plus(x0, 0)))
   ENCARG(cons_active(cons_plus(x0, cons_active(z0)))) -> c2(ACTIVE(plus(encArg(x0), active(encArg(z0)))), ENCARG(cons_plus(x0, cons_active(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_mark(z0)))) -> c2(ACTIVE(plus(encArg(x0), mark(encArg(z0)))), ENCARG(cons_plus(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_s(z0)))) -> c2(ACTIVE(plus(encArg(x0), s(encArg(z0)))), ENCARG(cons_plus(x0, cons_s(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_plus(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), plus(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_x(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), x(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(tt, x1))) -> c2(ACTIVE(plus(tt, encArg(x1))), ENCARG(cons_plus(tt, x1)))
   ENCARG(cons_active(cons_plus(0, x1))) -> c2(ACTIVE(plus(0, encArg(x1))), ENCARG(cons_plus(0, x1)))
   ENCARG(cons_active(cons_plus(cons_active(z0), x1))) -> c2(ACTIVE(plus(active(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_active(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_mark(z0), x1))) -> c2(ACTIVE(plus(mark(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_U11(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U12(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_s(z0), x1))) -> c2(ACTIVE(plus(s(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_s(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_plus(z0, z1), x1))) -> c2(ACTIVE(plus(plus(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_plus(z0, z1), x1)))
   ENCARG(cons_active(cons_plus(cons_U21(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U22(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_x(z0, z1), x1))) -> c2(ACTIVE(plus(x(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_x(z0, z1), x1)))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(s(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(s(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(s(plus(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_s(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(s(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(s(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_x(z0, z1)))) -> c2(ACTIVE(s(x(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, tt))) -> c2(ACTIVE(plus(encArg(x0), tt)), ENCARG(cons_plus(x0, tt)))
   ENCARG(cons_active(cons_plus(x0, 0))) -> c2(ACTIVE(plus(encArg(x0), 0)), ENCARG(cons_plus(x0, 0)))
   ENCARG(cons_active(cons_plus(x0, cons_active(z0)))) -> c2(ACTIVE(plus(encArg(x0), active(encArg(z0)))), ENCARG(cons_plus(x0, cons_active(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_mark(z0)))) -> c2(ACTIVE(plus(encArg(x0), mark(encArg(z0)))), ENCARG(cons_plus(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_s(z0)))) -> c2(ACTIVE(plus(encArg(x0), s(encArg(z0)))), ENCARG(cons_plus(x0, cons_s(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_plus(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), plus(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_x(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), x(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(tt, x1))) -> c2(ACTIVE(plus(tt, encArg(x1))), ENCARG(cons_plus(tt, x1)))
   ENCARG(cons_active(cons_plus(0, x1))) -> c2(ACTIVE(plus(0, encArg(x1))), ENCARG(cons_plus(0, x1)))
   ENCARG(cons_active(cons_plus(cons_active(z0), x1))) -> c2(ACTIVE(plus(active(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_active(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_mark(z0), x1))) -> c2(ACTIVE(plus(mark(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_U11(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U12(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_s(z0), x1))) -> c2(ACTIVE(plus(s(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_s(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_plus(z0, z1), x1))) -> c2(ACTIVE(plus(plus(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_plus(z0, z1), x1)))
   ENCARG(cons_active(cons_plus(cons_U21(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U22(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_x(z0, z1), x1))) -> c2(ACTIVE(plus(x(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_x(z0, z1), x1)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1


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(135) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_U21(z0, z1, z2))) -> c2(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2))) by 
   ENCARG(cons_active(cons_U21(x0, x1, tt))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), tt)), ENCARG(cons_U21(x0, x1, tt)))
   ENCARG(cons_active(cons_U21(x0, x1, 0))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), 0)), ENCARG(cons_U21(x0, x1, 0)))
   ENCARG(cons_active(cons_U21(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U21(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U21(x0, tt, x2))) -> c2(ACTIVE(U21(encArg(x0), tt, encArg(x2))), ENCARG(cons_U21(x0, tt, x2)))
   ENCARG(cons_active(cons_U21(x0, 0, x2))) -> c2(ACTIVE(U21(encArg(x0), 0, encArg(x2))), ENCARG(cons_U21(x0, 0, x2)))
   ENCARG(cons_active(cons_U21(x0, cons_active(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_s(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U21(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U21(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U21(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U21(tt, x1, x2))) -> c2(ACTIVE(U21(tt, encArg(x1), encArg(x2))), ENCARG(cons_U21(tt, x1, x2)))
   ENCARG(cons_active(cons_U21(0, x1, x2))) -> c2(ACTIVE(U21(0, encArg(x1), encArg(x2))), ENCARG(cons_U21(0, x1, x2)))
   ENCARG(cons_active(cons_U21(cons_active(z0), x1, x2))) -> c2(ACTIVE(U21(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U21(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_s(z0), x1, x2))) -> c2(ACTIVE(U21(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U21(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U21(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_x(z0, z1), x1, x2)))

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(s(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(s(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(s(plus(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_s(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(s(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(s(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_x(z0, z1)))) -> c2(ACTIVE(s(x(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, tt))) -> c2(ACTIVE(plus(encArg(x0), tt)), ENCARG(cons_plus(x0, tt)))
   ENCARG(cons_active(cons_plus(x0, 0))) -> c2(ACTIVE(plus(encArg(x0), 0)), ENCARG(cons_plus(x0, 0)))
   ENCARG(cons_active(cons_plus(x0, cons_active(z0)))) -> c2(ACTIVE(plus(encArg(x0), active(encArg(z0)))), ENCARG(cons_plus(x0, cons_active(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_mark(z0)))) -> c2(ACTIVE(plus(encArg(x0), mark(encArg(z0)))), ENCARG(cons_plus(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_s(z0)))) -> c2(ACTIVE(plus(encArg(x0), s(encArg(z0)))), ENCARG(cons_plus(x0, cons_s(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_plus(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), plus(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_x(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), x(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(tt, x1))) -> c2(ACTIVE(plus(tt, encArg(x1))), ENCARG(cons_plus(tt, x1)))
   ENCARG(cons_active(cons_plus(0, x1))) -> c2(ACTIVE(plus(0, encArg(x1))), ENCARG(cons_plus(0, x1)))
   ENCARG(cons_active(cons_plus(cons_active(z0), x1))) -> c2(ACTIVE(plus(active(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_active(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_mark(z0), x1))) -> c2(ACTIVE(plus(mark(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_U11(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U12(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_s(z0), x1))) -> c2(ACTIVE(plus(s(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_s(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_plus(z0, z1), x1))) -> c2(ACTIVE(plus(plus(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_plus(z0, z1), x1)))
   ENCARG(cons_active(cons_plus(cons_U21(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U22(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_x(z0, z1), x1))) -> c2(ACTIVE(plus(x(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_x(z0, z1), x1)))
   ENCARG(cons_active(cons_U21(x0, x1, tt))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), tt)), ENCARG(cons_U21(x0, x1, tt)))
   ENCARG(cons_active(cons_U21(x0, x1, 0))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), 0)), ENCARG(cons_U21(x0, x1, 0)))
   ENCARG(cons_active(cons_U21(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U21(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U21(x0, tt, x2))) -> c2(ACTIVE(U21(encArg(x0), tt, encArg(x2))), ENCARG(cons_U21(x0, tt, x2)))
   ENCARG(cons_active(cons_U21(x0, 0, x2))) -> c2(ACTIVE(U21(encArg(x0), 0, encArg(x2))), ENCARG(cons_U21(x0, 0, x2)))
   ENCARG(cons_active(cons_U21(x0, cons_active(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_s(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U21(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U21(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U21(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U21(tt, x1, x2))) -> c2(ACTIVE(U21(tt, encArg(x1), encArg(x2))), ENCARG(cons_U21(tt, x1, x2)))
   ENCARG(cons_active(cons_U21(0, x1, x2))) -> c2(ACTIVE(U21(0, encArg(x1), encArg(x2))), ENCARG(cons_U21(0, x1, x2)))
   ENCARG(cons_active(cons_U21(cons_active(z0), x1, x2))) -> c2(ACTIVE(U21(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U21(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_s(z0), x1, x2))) -> c2(ACTIVE(U21(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U21(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U21(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_x(z0, z1), x1, x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1


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

(137) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_active(cons_U22(z0, z1, z2))) -> c2(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2))) by 
   ENCARG(cons_active(cons_U22(x0, x1, tt))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), tt)), ENCARG(cons_U22(x0, x1, tt)))
   ENCARG(cons_active(cons_U22(x0, x1, 0))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), 0)), ENCARG(cons_U22(x0, x1, 0)))
   ENCARG(cons_active(cons_U22(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U22(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U22(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U22(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U22(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U22(x0, tt, x2))) -> c2(ACTIVE(U22(encArg(x0), tt, encArg(x2))), ENCARG(cons_U22(x0, tt, x2)))
   ENCARG(cons_active(cons_U22(x0, 0, x2))) -> c2(ACTIVE(U22(encArg(x0), 0, encArg(x2))), ENCARG(cons_U22(x0, 0, x2)))
   ENCARG(cons_active(cons_U22(x0, cons_active(z0), x2))) -> c2(ACTIVE(U22(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U22(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U22(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U22(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_s(z0), x2))) -> c2(ACTIVE(U22(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U22(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U22(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U22(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U22(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U22(tt, x1, x2))) -> c2(ACTIVE(U22(tt, encArg(x1), encArg(x2))), ENCARG(cons_U22(tt, x1, x2)))
   ENCARG(cons_active(cons_U22(0, x1, x2))) -> c2(ACTIVE(U22(0, encArg(x1), encArg(x2))), ENCARG(cons_U22(0, x1, x2)))
   ENCARG(cons_active(cons_U22(cons_active(z0), x1, x2))) -> c2(ACTIVE(U22(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U22(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_s(z0), x1, x2))) -> c2(ACTIVE(U22(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U22(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U22(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_x(z0, z1), x1, x2)))

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(tt) -> tt
   encArg(0) -> 0
   encArg(cons_active(z0)) -> active(encArg(z0))
   encArg(cons_mark(z0)) -> mark(encArg(z0))
   encArg(cons_U11(z0, z1, z2)) -> U11(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U12(z0, z1, z2)) -> U12(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_s(z0)) -> s(encArg(z0))
   encArg(cons_plus(z0, z1)) -> plus(encArg(z0), encArg(z1))
   encArg(cons_U21(z0, z1, z2)) -> U21(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_U22(z0, z1, z2)) -> U22(encArg(z0), encArg(z1), encArg(z2))
   encArg(cons_x(z0, z1)) -> x(encArg(z0), encArg(z1))
   active(U11(tt, z0, z1)) -> mark(U12(tt, z0, z1))
   active(U12(tt, z0, z1)) -> mark(s(plus(z1, z0)))
   active(U21(tt, z0, z1)) -> mark(U22(tt, z0, z1))
   active(U22(tt, z0, z1)) -> mark(plus(x(z1, z0), z1))
   active(plus(z0, 0)) -> mark(z0)
   active(plus(z0, s(z1))) -> mark(U11(tt, z1, z0))
   active(x(z0, 0)) -> mark(0)
   active(x(z0, s(z1))) -> mark(U21(tt, z1, z0))
   mark(U11(z0, z1, z2)) -> active(U11(mark(z0), z1, z2))
   mark(tt) -> active(tt)
   mark(U12(z0, z1, z2)) -> active(U12(mark(z0), z1, z2))
   mark(s(z0)) -> active(s(mark(z0)))
   mark(plus(z0, z1)) -> active(plus(mark(z0), mark(z1)))
   mark(U21(z0, z1, z2)) -> active(U21(mark(z0), z1, z2))
   mark(U22(z0, z1, z2)) -> active(U22(mark(z0), z1, z2))
   mark(x(z0, z1)) -> active(x(mark(z0), mark(z1)))
   mark(0) -> active(0)
   U11(mark(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, mark(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, mark(z2)) -> U11(z0, z1, z2)
   U11(active(z0), z1, z2) -> U11(z0, z1, z2)
   U11(z0, active(z1), z2) -> U11(z0, z1, z2)
   U11(z0, z1, active(z2)) -> U11(z0, z1, z2)
   U12(mark(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, mark(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, mark(z2)) -> U12(z0, z1, z2)
   U12(active(z0), z1, z2) -> U12(z0, z1, z2)
   U12(z0, active(z1), z2) -> U12(z0, z1, z2)
   U12(z0, z1, active(z2)) -> U12(z0, z1, z2)
   s(mark(z0)) -> s(z0)
   s(active(z0)) -> s(z0)
   plus(mark(z0), z1) -> plus(z0, z1)
   plus(z0, mark(z1)) -> plus(z0, z1)
   plus(active(z0), z1) -> plus(z0, z1)
   plus(z0, active(z1)) -> plus(z0, z1)
   U21(mark(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, mark(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, mark(z2)) -> U21(z0, z1, z2)
   U21(active(z0), z1, z2) -> U21(z0, z1, z2)
   U21(z0, active(z1), z2) -> U21(z0, z1, z2)
   U21(z0, z1, active(z2)) -> U21(z0, z1, z2)
   U22(mark(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, mark(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, mark(z2)) -> U22(z0, z1, z2)
   U22(active(z0), z1, z2) -> U22(z0, z1, z2)
   U22(z0, active(z1), z2) -> U22(z0, z1, z2)
   U22(z0, z1, active(z2)) -> U22(z0, z1, z2)
   x(mark(z0), z1) -> x(z0, z1)
   x(z0, mark(z1)) -> x(z0, z1)
   x(active(z0), z1) -> x(z0, z1)
   x(z0, active(z1)) -> x(z0, z1)
Tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   ENCARG(cons_active(cons_x(z0, z1))) -> c2(ACTIVE(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   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_U11(z0, z1, z2))) -> c3(MARK(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_mark(cons_U12(z0, z1, z2))) -> c3(MARK(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_mark(cons_s(z0))) -> c3(MARK(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_mark(cons_plus(z0, z1))) -> c3(MARK(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_mark(cons_U21(z0, z1, z2))) -> c3(MARK(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_mark(cons_U22(z0, z1, z2))) -> c3(MARK(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_mark(cons_x(z0, z1))) -> c3(MARK(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_mark(tt)) -> c3(MARK(tt))
   ENCARG(cons_mark(0)) -> c3(MARK(0))
   ENCARG(cons_U11(x0, x1, cons_active(z0))) -> c4(U11'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U11(x0, x1, cons_mark(z0))) -> c4(U11'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_s(z0))) -> c4(U11'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))) -> c4(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U11(x0, x1, cons_x(z0, z1))) -> c4(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U11(x0, cons_active(z0), x2)) -> c4(U11'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_mark(z0), x2)) -> c4(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_s(z0), x2)) -> c4(U11'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)) -> c4(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)) -> c4(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U11(x0, cons_x(z0, z1), x2)) -> c4(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U11(cons_active(z0), x1, x2)) -> c4(U11'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_mark(z0), x1, x2)) -> c4(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)) -> c4(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)) -> c4(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_s(z0), x1, x2)) -> c4(U11'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)) -> c4(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)) -> c4(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)) -> c4(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(cons_x(z0, z1), x1, x2)) -> c4(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(x0, x1, tt)) -> c4(U11'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, x1, 0)) -> c4(U11'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U11(x0, tt, x2)) -> c4(U11'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(x0, 0, x2)) -> c4(U11'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U11(tt, x1, x2)) -> c4(U11'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U11(0, x1, x2)) -> c4(U11'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, cons_active(z0))) -> c5(U12'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U12(x0, x1, cons_mark(z0))) -> c5(U12'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_s(z0))) -> c5(U12'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))) -> c5(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U12(x0, x1, cons_x(z0, z1))) -> c5(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U12(x0, cons_active(z0), x2)) -> c5(U12'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_mark(z0), x2)) -> c5(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_s(z0), x2)) -> c5(U12'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)) -> c5(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)) -> c5(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U12(x0, cons_x(z0, z1), x2)) -> c5(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U12(cons_active(z0), x1, x2)) -> c5(U12'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_mark(z0), x1, x2)) -> c5(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)) -> c5(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)) -> c5(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_s(z0), x1, x2)) -> c5(U12'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)) -> c5(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)) -> c5(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)) -> c5(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(cons_x(z0, z1), x1, x2)) -> c5(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(x0, x1, tt)) -> c5(U12'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, x1, 0)) -> c5(U12'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U12(x0, tt, x2)) -> c5(U12'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(x0, 0, x2)) -> c5(U12'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U12(tt, x1, x2)) -> c5(U12'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U12(0, x1, x2)) -> c5(U12'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   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_U11(z0, z1, z2))) -> c6(S(U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_s(cons_U12(z0, z1, z2))) -> c6(S(U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_s(cons_s(z0))) -> c6(S(s(encArg(z0))), ENCARG(cons_s(z0)))
   ENCARG(cons_s(cons_plus(z0, z1))) -> c6(S(plus(encArg(z0), encArg(z1))), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_s(cons_U21(z0, z1, z2))) -> c6(S(U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_s(cons_U22(z0, z1, z2))) -> c6(S(U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_s(cons_x(z0, z1))) -> c6(S(x(encArg(z0), encArg(z1))), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(x0, cons_active(z0))) -> c7(PLUS(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_plus(x0, cons_mark(z0))) -> c7(PLUS(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))) -> c7(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))) -> c7(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_s(z0))) -> c7(PLUS(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_plus(x0, cons_plus(z0, z1))) -> c7(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))) -> c7(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))) -> c7(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_plus(x0, cons_x(z0, z1))) -> c7(PLUS(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_plus(cons_active(z0), x1)) -> c7(PLUS(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_mark(z0), x1)) -> c7(PLUS(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)) -> c7(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)) -> c7(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_s(z0), x1)) -> c7(PLUS(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_plus(cons_plus(z0, z1), x1)) -> c7(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)) -> c7(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)) -> c7(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_plus(cons_x(z0, z1), x1)) -> c7(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_plus(x0, tt)) -> c7(PLUS(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_plus(x0, 0)) -> c7(PLUS(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_plus(tt, x1)) -> c7(PLUS(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_plus(0, x1)) -> c7(PLUS(0, encArg(x1)), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, cons_active(z0))) -> c8(U21'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U21(x0, x1, cons_mark(z0))) -> c8(U21'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_s(z0))) -> c8(U21'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))) -> c8(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U21(x0, x1, cons_x(z0, z1))) -> c8(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U21(x0, cons_active(z0), x2)) -> c8(U21'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_mark(z0), x2)) -> c8(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_s(z0), x2)) -> c8(U21'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)) -> c8(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)) -> c8(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U21(x0, cons_x(z0, z1), x2)) -> c8(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U21(cons_active(z0), x1, x2)) -> c8(U21'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_mark(z0), x1, x2)) -> c8(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)) -> c8(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)) -> c8(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_s(z0), x1, x2)) -> c8(U21'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)) -> c8(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)) -> c8(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)) -> c8(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(cons_x(z0, z1), x1, x2)) -> c8(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(x0, x1, tt)) -> c8(U21'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, x1, 0)) -> c8(U21'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U21(x0, tt, x2)) -> c8(U21'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(x0, 0, x2)) -> c8(U21'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U21(tt, x1, x2)) -> c8(U21'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U21(0, x1, x2)) -> c8(U21'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, cons_active(z0))) -> c9(U22'(encArg(x0), encArg(x1), active(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_active(z0)))
   ENCARG(cons_U22(x0, x1, cons_mark(z0))) -> c9(U22'(encArg(x0), encArg(x1), mark(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_mark(z0)))
   ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_s(z0))) -> c9(U22'(encArg(x0), encArg(x1), s(encArg(z0))), ENCARG(x0), ENCARG(x1), ENCARG(cons_s(z0)))
   ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))) -> c9(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(x1), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_U22(x0, x1, cons_x(z0, z1))) -> c9(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(x1), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_U22(x0, cons_active(z0), x2)) -> c9(U22'(encArg(x0), active(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_active(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_mark(z0), x2)) -> c9(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_mark(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_s(z0), x2)) -> c9(U22'(encArg(x0), s(encArg(z0)), encArg(x2)), ENCARG(x0), ENCARG(cons_s(z0)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)) -> c9(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_plus(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)) -> c9(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x2))
   ENCARG(cons_U22(x0, cons_x(z0, z1), x2)) -> c9(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)), ENCARG(x0), ENCARG(cons_x(z0, z1)), ENCARG(x2))
   ENCARG(cons_U22(cons_active(z0), x1, x2)) -> c9(U22'(active(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_active(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_mark(z0), x1, x2)) -> c9(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_mark(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)) -> c9(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)) -> c9(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_s(z0), x1, x2)) -> c9(U22'(s(encArg(z0)), encArg(x1), encArg(x2)), ENCARG(cons_s(z0)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)) -> c9(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_plus(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)) -> c9(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)) -> c9(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(cons_x(z0, z1), x1, x2)) -> c9(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)), ENCARG(cons_x(z0, z1)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(x0, x1, tt)) -> c9(U22'(encArg(x0), encArg(x1), tt), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, x1, 0)) -> c9(U22'(encArg(x0), encArg(x1), 0), ENCARG(x0), ENCARG(x1))
   ENCARG(cons_U22(x0, tt, x2)) -> c9(U22'(encArg(x0), tt, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(x0, 0, x2)) -> c9(U22'(encArg(x0), 0, encArg(x2)), ENCARG(x0), ENCARG(x2))
   ENCARG(cons_U22(tt, x1, x2)) -> c9(U22'(tt, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_U22(0, x1, x2)) -> c9(U22'(0, encArg(x1), encArg(x2)), ENCARG(x1), ENCARG(x2))
   ENCARG(cons_x(x0, cons_active(z0))) -> c10(X(encArg(x0), active(encArg(z0))), ENCARG(x0), ENCARG(cons_active(z0)))
   ENCARG(cons_x(x0, cons_mark(z0))) -> c10(X(encArg(x0), mark(encArg(z0))), ENCARG(x0), ENCARG(cons_mark(z0)))
   ENCARG(cons_x(x0, cons_U11(z0, z1, z2))) -> c10(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U11(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U12(z0, z1, z2))) -> c10(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U12(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_s(z0))) -> c10(X(encArg(x0), s(encArg(z0))), ENCARG(x0), ENCARG(cons_s(z0)))
   ENCARG(cons_x(x0, cons_plus(z0, z1))) -> c10(X(encArg(x0), plus(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_plus(z0, z1)))
   ENCARG(cons_x(x0, cons_U21(z0, z1, z2))) -> c10(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U21(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_U22(z0, z1, z2))) -> c10(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))), ENCARG(x0), ENCARG(cons_U22(z0, z1, z2)))
   ENCARG(cons_x(x0, cons_x(z0, z1))) -> c10(X(encArg(x0), x(encArg(z0), encArg(z1))), ENCARG(x0), ENCARG(cons_x(z0, z1)))
   ENCARG(cons_x(cons_active(z0), x1)) -> c10(X(active(encArg(z0)), encArg(x1)), ENCARG(cons_active(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_mark(z0), x1)) -> c10(X(mark(encArg(z0)), encArg(x1)), ENCARG(cons_mark(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_U11(z0, z1, z2), x1)) -> c10(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U11(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U12(z0, z1, z2), x1)) -> c10(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U12(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_s(z0), x1)) -> c10(X(s(encArg(z0)), encArg(x1)), ENCARG(cons_s(z0)), ENCARG(x1))
   ENCARG(cons_x(cons_plus(z0, z1), x1)) -> c10(X(plus(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_plus(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(cons_U21(z0, z1, z2), x1)) -> c10(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U21(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_U22(z0, z1, z2), x1)) -> c10(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)), ENCARG(cons_U22(z0, z1, z2)), ENCARG(x1))
   ENCARG(cons_x(cons_x(z0, z1), x1)) -> c10(X(x(encArg(z0), encArg(z1)), encArg(x1)), ENCARG(cons_x(z0, z1)), ENCARG(x1))
   ENCARG(cons_x(x0, tt)) -> c10(X(encArg(x0), tt), ENCARG(x0))
   ENCARG(cons_x(x0, 0)) -> c10(X(encArg(x0), 0), ENCARG(x0))
   ENCARG(cons_x(tt, x1)) -> c10(X(tt, encArg(x1)), ENCARG(x1))
   ENCARG(cons_x(0, x1)) -> c10(X(0, encArg(x1)), ENCARG(x1))
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
   ENCODE_ACTIVE(cons_active(z0)) -> c(ACTIVE(active(encArg(z0))))
   ENCODE_ACTIVE(cons_mark(z0)) -> c(ACTIVE(mark(encArg(z0))))
   ENCODE_ACTIVE(cons_U11(z0, z1, z2)) -> c(ACTIVE(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U12(z0, z1, z2)) -> c(ACTIVE(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_s(z0)) -> c(ACTIVE(s(encArg(z0))))
   ENCODE_ACTIVE(cons_plus(z0, z1)) -> c(ACTIVE(plus(encArg(z0), encArg(z1))))
   ENCODE_ACTIVE(cons_U21(z0, z1, z2)) -> c(ACTIVE(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_U22(z0, z1, z2)) -> c(ACTIVE(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_ACTIVE(cons_x(z0, z1)) -> c(ACTIVE(x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, tt) -> c(U11'(encArg(x0), encArg(x1), tt))
   ENCODE_U11(x0, x1, 0) -> c(U11'(encArg(x0), encArg(x1), 0))
   ENCODE_U11(x0, x1, cons_active(z0)) -> c(U11'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U11(x0, x1, cons_mark(z0)) -> c(U11'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U11(x0, x1, cons_U11(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U12(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_s(z0)) -> c(U11'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U11(x0, x1, cons_plus(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, x1, cons_U21(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_U22(z0, z1, z2)) -> c(U11'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U11(x0, x1, cons_x(z0, z1)) -> c(U11'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U11(x0, tt, x2) -> c(U11'(encArg(x0), tt, encArg(x2)))
   ENCODE_U11(x0, 0, x2) -> c(U11'(encArg(x0), 0, encArg(x2)))
   ENCODE_U11(x0, cons_active(z0), x2) -> c(U11'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_mark(z0), x2) -> c(U11'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_U11(z0, z1, z2), x2) -> c(U11'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U12(z0, z1, z2), x2) -> c(U11'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_s(z0), x2) -> c(U11'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U11(x0, cons_plus(z0, z1), x2) -> c(U11'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(x0, cons_U21(z0, z1, z2), x2) -> c(U11'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_U22(z0, z1, z2), x2) -> c(U11'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U11(x0, cons_x(z0, z1), x2) -> c(U11'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U11(tt, x1, x2) -> c(U11'(tt, encArg(x1), encArg(x2)))
   ENCODE_U11(0, x1, x2) -> c(U11'(0, encArg(x1), encArg(x2)))
   ENCODE_U11(cons_active(z0), x1, x2) -> c(U11'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_mark(z0), x1, x2) -> c(U11'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U11(z0, z1, z2), x1, x2) -> c(U11'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U12(z0, z1, z2), x1, x2) -> c(U11'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_s(z0), x1, x2) -> c(U11'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_plus(z0, z1), x1, x2) -> c(U11'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U21(z0, z1, z2), x1, x2) -> c(U11'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_U22(z0, z1, z2), x1, x2) -> c(U11'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U11(cons_x(z0, z1), x1, x2) -> c(U11'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_MARK(cons_active(z0)) -> c(MARK(active(encArg(z0))))
   ENCODE_MARK(cons_mark(z0)) -> c(MARK(mark(encArg(z0))))
   ENCODE_MARK(cons_U11(z0, z1, z2)) -> c(MARK(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U12(z0, z1, z2)) -> c(MARK(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_s(z0)) -> c(MARK(s(encArg(z0))))
   ENCODE_MARK(cons_plus(z0, z1)) -> c(MARK(plus(encArg(z0), encArg(z1))))
   ENCODE_MARK(cons_U21(z0, z1, z2)) -> c(MARK(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_U22(z0, z1, z2)) -> c(MARK(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_MARK(cons_x(z0, z1)) -> c(MARK(x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, tt) -> c(U12'(encArg(x0), encArg(x1), tt))
   ENCODE_U12(x0, x1, 0) -> c(U12'(encArg(x0), encArg(x1), 0))
   ENCODE_U12(x0, x1, cons_active(z0)) -> c(U12'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U12(x0, x1, cons_mark(z0)) -> c(U12'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U12(x0, x1, cons_U11(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U12(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_s(z0)) -> c(U12'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U12(x0, x1, cons_plus(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, x1, cons_U21(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_U22(z0, z1, z2)) -> c(U12'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U12(x0, x1, cons_x(z0, z1)) -> c(U12'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U12(x0, tt, x2) -> c(U12'(encArg(x0), tt, encArg(x2)))
   ENCODE_U12(x0, 0, x2) -> c(U12'(encArg(x0), 0, encArg(x2)))
   ENCODE_U12(x0, cons_active(z0), x2) -> c(U12'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_mark(z0), x2) -> c(U12'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_U11(z0, z1, z2), x2) -> c(U12'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U12(z0, z1, z2), x2) -> c(U12'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_s(z0), x2) -> c(U12'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U12(x0, cons_plus(z0, z1), x2) -> c(U12'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(x0, cons_U21(z0, z1, z2), x2) -> c(U12'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_U22(z0, z1, z2), x2) -> c(U12'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U12(x0, cons_x(z0, z1), x2) -> c(U12'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U12(tt, x1, x2) -> c(U12'(tt, encArg(x1), encArg(x2)))
   ENCODE_U12(0, x1, x2) -> c(U12'(0, encArg(x1), encArg(x2)))
   ENCODE_U12(cons_active(z0), x1, x2) -> c(U12'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_mark(z0), x1, x2) -> c(U12'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U11(z0, z1, z2), x1, x2) -> c(U12'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U12(z0, z1, z2), x1, x2) -> c(U12'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_s(z0), x1, x2) -> c(U12'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_plus(z0, z1), x1, x2) -> c(U12'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U21(z0, z1, z2), x1, x2) -> c(U12'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_U22(z0, z1, z2), x1, x2) -> c(U12'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U12(cons_x(z0, z1), x1, x2) -> c(U12'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_S(cons_active(z0)) -> c(S(active(encArg(z0))))
   ENCODE_S(cons_mark(z0)) -> c(S(mark(encArg(z0))))
   ENCODE_S(cons_U11(z0, z1, z2)) -> c(S(U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U12(z0, z1, z2)) -> c(S(U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_s(z0)) -> c(S(s(encArg(z0))))
   ENCODE_S(cons_plus(z0, z1)) -> c(S(plus(encArg(z0), encArg(z1))))
   ENCODE_S(cons_U21(z0, z1, z2)) -> c(S(U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_U22(z0, z1, z2)) -> c(S(U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_S(cons_x(z0, z1)) -> c(S(x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, tt) -> c(PLUS(encArg(x0), tt))
   ENCODE_PLUS(x0, 0) -> c(PLUS(encArg(x0), 0))
   ENCODE_PLUS(x0, cons_active(z0)) -> c(PLUS(encArg(x0), active(encArg(z0))))
   ENCODE_PLUS(x0, cons_mark(z0)) -> c(PLUS(encArg(x0), mark(encArg(z0))))
   ENCODE_PLUS(x0, cons_U11(z0, z1, z2)) -> c(PLUS(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U12(z0, z1, z2)) -> c(PLUS(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_s(z0)) -> c(PLUS(encArg(x0), s(encArg(z0))))
   ENCODE_PLUS(x0, cons_plus(z0, z1)) -> c(PLUS(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_PLUS(x0, cons_U21(z0, z1, z2)) -> c(PLUS(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_U22(z0, z1, z2)) -> c(PLUS(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_PLUS(x0, cons_x(z0, z1)) -> c(PLUS(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_PLUS(tt, x1) -> c(PLUS(tt, encArg(x1)))
   ENCODE_PLUS(0, x1) -> c(PLUS(0, encArg(x1)))
   ENCODE_PLUS(cons_active(z0), x1) -> c(PLUS(active(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_mark(z0), x1) -> c(PLUS(mark(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_U11(z0, z1, z2), x1) -> c(PLUS(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U12(z0, z1, z2), x1) -> c(PLUS(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_s(z0), x1) -> c(PLUS(s(encArg(z0)), encArg(x1)))
   ENCODE_PLUS(cons_plus(z0, z1), x1) -> c(PLUS(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_PLUS(cons_U21(z0, z1, z2), x1) -> c(PLUS(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_U22(z0, z1, z2), x1) -> c(PLUS(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_PLUS(cons_x(z0, z1), x1) -> c(PLUS(x(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_U21(x0, x1, tt) -> c(U21'(encArg(x0), encArg(x1), tt))
   ENCODE_U21(x0, x1, 0) -> c(U21'(encArg(x0), encArg(x1), 0))
   ENCODE_U21(x0, x1, cons_active(z0)) -> c(U21'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U21(x0, x1, cons_mark(z0)) -> c(U21'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U21(x0, x1, cons_U11(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U12(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_s(z0)) -> c(U21'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U21(x0, x1, cons_plus(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, x1, cons_U21(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_U22(z0, z1, z2)) -> c(U21'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U21(x0, x1, cons_x(z0, z1)) -> c(U21'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U21(x0, tt, x2) -> c(U21'(encArg(x0), tt, encArg(x2)))
   ENCODE_U21(x0, 0, x2) -> c(U21'(encArg(x0), 0, encArg(x2)))
   ENCODE_U21(x0, cons_active(z0), x2) -> c(U21'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_mark(z0), x2) -> c(U21'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_U11(z0, z1, z2), x2) -> c(U21'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U12(z0, z1, z2), x2) -> c(U21'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_s(z0), x2) -> c(U21'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U21(x0, cons_plus(z0, z1), x2) -> c(U21'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(x0, cons_U21(z0, z1, z2), x2) -> c(U21'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_U22(z0, z1, z2), x2) -> c(U21'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U21(x0, cons_x(z0, z1), x2) -> c(U21'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U21(tt, x1, x2) -> c(U21'(tt, encArg(x1), encArg(x2)))
   ENCODE_U21(0, x1, x2) -> c(U21'(0, encArg(x1), encArg(x2)))
   ENCODE_U21(cons_active(z0), x1, x2) -> c(U21'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_mark(z0), x1, x2) -> c(U21'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U11(z0, z1, z2), x1, x2) -> c(U21'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U12(z0, z1, z2), x1, x2) -> c(U21'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_s(z0), x1, x2) -> c(U21'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_plus(z0, z1), x1, x2) -> c(U21'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U21(z0, z1, z2), x1, x2) -> c(U21'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_U22(z0, z1, z2), x1, x2) -> c(U21'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U21(cons_x(z0, z1), x1, x2) -> c(U21'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(x0, x1, tt) -> c(U22'(encArg(x0), encArg(x1), tt))
   ENCODE_U22(x0, x1, 0) -> c(U22'(encArg(x0), encArg(x1), 0))
   ENCODE_U22(x0, x1, cons_active(z0)) -> c(U22'(encArg(x0), encArg(x1), active(encArg(z0))))
   ENCODE_U22(x0, x1, cons_mark(z0)) -> c(U22'(encArg(x0), encArg(x1), mark(encArg(z0))))
   ENCODE_U22(x0, x1, cons_U11(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U12(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_s(z0)) -> c(U22'(encArg(x0), encArg(x1), s(encArg(z0))))
   ENCODE_U22(x0, x1, cons_plus(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, x1, cons_U21(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_U22(z0, z1, z2)) -> c(U22'(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_U22(x0, x1, cons_x(z0, z1)) -> c(U22'(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1))))
   ENCODE_U22(x0, tt, x2) -> c(U22'(encArg(x0), tt, encArg(x2)))
   ENCODE_U22(x0, 0, x2) -> c(U22'(encArg(x0), 0, encArg(x2)))
   ENCODE_U22(x0, cons_active(z0), x2) -> c(U22'(encArg(x0), active(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_mark(z0), x2) -> c(U22'(encArg(x0), mark(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_U11(z0, z1, z2), x2) -> c(U22'(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U12(z0, z1, z2), x2) -> c(U22'(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_s(z0), x2) -> c(U22'(encArg(x0), s(encArg(z0)), encArg(x2)))
   ENCODE_U22(x0, cons_plus(z0, z1), x2) -> c(U22'(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(x0, cons_U21(z0, z1, z2), x2) -> c(U22'(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_U22(z0, z1, z2), x2) -> c(U22'(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2)))
   ENCODE_U22(x0, cons_x(z0, z1), x2) -> c(U22'(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2)))
   ENCODE_U22(tt, x1, x2) -> c(U22'(tt, encArg(x1), encArg(x2)))
   ENCODE_U22(0, x1, x2) -> c(U22'(0, encArg(x1), encArg(x2)))
   ENCODE_U22(cons_active(z0), x1, x2) -> c(U22'(active(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_mark(z0), x1, x2) -> c(U22'(mark(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U11(z0, z1, z2), x1, x2) -> c(U22'(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U12(z0, z1, z2), x1, x2) -> c(U22'(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_s(z0), x1, x2) -> c(U22'(s(encArg(z0)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_plus(z0, z1), x1, x2) -> c(U22'(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U21(z0, z1, z2), x1, x2) -> c(U22'(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_U22(z0, z1, z2), x1, x2) -> c(U22'(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2)))
   ENCODE_U22(cons_x(z0, z1), x1, x2) -> c(U22'(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2)))
   ENCODE_X(x0, tt) -> c(X(encArg(x0), tt))
   ENCODE_X(x0, 0) -> c(X(encArg(x0), 0))
   ENCODE_X(x0, cons_active(z0)) -> c(X(encArg(x0), active(encArg(z0))))
   ENCODE_X(x0, cons_mark(z0)) -> c(X(encArg(x0), mark(encArg(z0))))
   ENCODE_X(x0, cons_U11(z0, z1, z2)) -> c(X(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U12(z0, z1, z2)) -> c(X(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_s(z0)) -> c(X(encArg(x0), s(encArg(z0))))
   ENCODE_X(x0, cons_plus(z0, z1)) -> c(X(encArg(x0), plus(encArg(z0), encArg(z1))))
   ENCODE_X(x0, cons_U21(z0, z1, z2)) -> c(X(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_U22(z0, z1, z2)) -> c(X(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2))))
   ENCODE_X(x0, cons_x(z0, z1)) -> c(X(encArg(x0), x(encArg(z0), encArg(z1))))
   ENCODE_X(tt, x1) -> c(X(tt, encArg(x1)))
   ENCODE_X(0, x1) -> c(X(0, encArg(x1)))
   ENCODE_X(cons_active(z0), x1) -> c(X(active(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_mark(z0), x1) -> c(X(mark(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_U11(z0, z1, z2), x1) -> c(X(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U12(z0, z1, z2), x1) -> c(X(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_s(z0), x1) -> c(X(s(encArg(z0)), encArg(x1)))
   ENCODE_X(cons_plus(z0, z1), x1) -> c(X(plus(encArg(z0), encArg(z1)), encArg(x1)))
   ENCODE_X(cons_U21(z0, z1, z2), x1) -> c(X(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_U22(z0, z1, z2), x1) -> c(X(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1)))
   ENCODE_X(cons_x(z0, z1), x1) -> c(X(x(encArg(z0), encArg(z1)), encArg(x1)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(active(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(active(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(active(plus(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_active(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(active(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(active(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_active(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_active(cons_x(z0, z1)))) -> c2(ACTIVE(active(x(encArg(z0), encArg(z1)))), ENCARG(cons_active(cons_x(z0, z1))))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(mark(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(mark(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(mark(plus(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_mark(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(mark(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(mark(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_mark(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_mark(cons_x(z0, z1)))) -> c2(ACTIVE(mark(x(encArg(z0), encArg(z1)))), ENCARG(cons_mark(cons_x(z0, z1))))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ACTIVE(mark(tt)))
   ENCARG(cons_active(cons_mark(tt))) -> c1(ENCARG(cons_mark(tt)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ACTIVE(mark(0)))
   ENCARG(cons_active(cons_mark(0))) -> c1(ENCARG(cons_mark(0)))
   ENCARG(cons_active(cons_U11(x0, x1, tt))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), tt)), ENCARG(cons_U11(x0, x1, tt)))
   ENCARG(cons_active(cons_U11(x0, x1, 0))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), 0)), ENCARG(cons_U11(x0, x1, 0)))
   ENCARG(cons_active(cons_U11(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U11(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U11(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U11(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U11(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U11(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U11(x0, tt, x2))) -> c2(ACTIVE(U11(encArg(x0), tt, encArg(x2))), ENCARG(cons_U11(x0, tt, x2)))
   ENCARG(cons_active(cons_U11(x0, 0, x2))) -> c2(ACTIVE(U11(encArg(x0), 0, encArg(x2))), ENCARG(cons_U11(x0, 0, x2)))
   ENCARG(cons_active(cons_U11(x0, cons_active(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_s(z0), x2))) -> c2(ACTIVE(U11(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U11(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U11(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U11(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U11(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U11(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U11(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U11(tt, x1, x2))) -> c2(ACTIVE(U11(tt, encArg(x1), encArg(x2))), ENCARG(cons_U11(tt, x1, x2)))
   ENCARG(cons_active(cons_U11(0, x1, x2))) -> c2(ACTIVE(U11(0, encArg(x1), encArg(x2))), ENCARG(cons_U11(0, x1, x2)))
   ENCARG(cons_active(cons_U11(cons_active(z0), x1, x2))) -> c2(ACTIVE(U11(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U11(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_s(z0), x1, x2))) -> c2(ACTIVE(U11(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U11(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U11(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U11(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U11(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U11(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(x0, x1, tt))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), tt)), ENCARG(cons_U12(x0, x1, tt)))
   ENCARG(cons_active(cons_U12(x0, x1, 0))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), 0)), ENCARG(cons_U12(x0, x1, 0)))
   ENCARG(cons_active(cons_U12(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U12(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U12(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U12(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U12(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U12(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U12(x0, tt, x2))) -> c2(ACTIVE(U12(encArg(x0), tt, encArg(x2))), ENCARG(cons_U12(x0, tt, x2)))
   ENCARG(cons_active(cons_U12(x0, 0, x2))) -> c2(ACTIVE(U12(encArg(x0), 0, encArg(x2))), ENCARG(cons_U12(x0, 0, x2)))
   ENCARG(cons_active(cons_U12(x0, cons_active(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_s(z0), x2))) -> c2(ACTIVE(U12(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U12(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U12(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U12(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U12(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U12(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U12(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U12(tt, x1, x2))) -> c2(ACTIVE(U12(tt, encArg(x1), encArg(x2))), ENCARG(cons_U12(tt, x1, x2)))
   ENCARG(cons_active(cons_U12(0, x1, x2))) -> c2(ACTIVE(U12(0, encArg(x1), encArg(x2))), ENCARG(cons_U12(0, x1, x2)))
   ENCARG(cons_active(cons_U12(cons_active(z0), x1, x2))) -> c2(ACTIVE(U12(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U12(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_s(z0), x1, x2))) -> c2(ACTIVE(U12(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U12(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U12(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U12(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U12(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U12(cons_x(z0, z1), x1, x2)))
   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_U11(z0, z1, z2)))) -> c2(ACTIVE(s(U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U12(z0, z1, z2)))) -> c2(ACTIVE(s(U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U12(z0, z1, z2))))
   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_plus(z0, z1)))) -> c2(ACTIVE(s(plus(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_plus(z0, z1))))
   ENCARG(cons_active(cons_s(cons_U21(z0, z1, z2)))) -> c2(ACTIVE(s(U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_U22(z0, z1, z2)))) -> c2(ACTIVE(s(U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_s(cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_s(cons_x(z0, z1)))) -> c2(ACTIVE(s(x(encArg(z0), encArg(z1)))), ENCARG(cons_s(cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, tt))) -> c2(ACTIVE(plus(encArg(x0), tt)), ENCARG(cons_plus(x0, tt)))
   ENCARG(cons_active(cons_plus(x0, 0))) -> c2(ACTIVE(plus(encArg(x0), 0)), ENCARG(cons_plus(x0, 0)))
   ENCARG(cons_active(cons_plus(x0, cons_active(z0)))) -> c2(ACTIVE(plus(encArg(x0), active(encArg(z0)))), ENCARG(cons_plus(x0, cons_active(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_mark(z0)))) -> c2(ACTIVE(plus(encArg(x0), mark(encArg(z0)))), ENCARG(cons_plus(x0, cons_mark(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_s(z0)))) -> c2(ACTIVE(plus(encArg(x0), s(encArg(z0)))), ENCARG(cons_plus(x0, cons_s(z0))))
   ENCARG(cons_active(cons_plus(x0, cons_plus(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), plus(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_plus(x0, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(plus(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_plus(x0, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_plus(x0, cons_x(z0, z1)))) -> c2(ACTIVE(plus(encArg(x0), x(encArg(z0), encArg(z1)))), ENCARG(cons_plus(x0, cons_x(z0, z1))))
   ENCARG(cons_active(cons_plus(tt, x1))) -> c2(ACTIVE(plus(tt, encArg(x1))), ENCARG(cons_plus(tt, x1)))
   ENCARG(cons_active(cons_plus(0, x1))) -> c2(ACTIVE(plus(0, encArg(x1))), ENCARG(cons_plus(0, x1)))
   ENCARG(cons_active(cons_plus(cons_active(z0), x1))) -> c2(ACTIVE(plus(active(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_active(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_mark(z0), x1))) -> c2(ACTIVE(plus(mark(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_mark(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_U11(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U11(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U12(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U12(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_s(z0), x1))) -> c2(ACTIVE(plus(s(encArg(z0)), encArg(x1))), ENCARG(cons_plus(cons_s(z0), x1)))
   ENCARG(cons_active(cons_plus(cons_plus(z0, z1), x1))) -> c2(ACTIVE(plus(plus(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_plus(z0, z1), x1)))
   ENCARG(cons_active(cons_plus(cons_U21(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U21(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_U22(z0, z1, z2), x1))) -> c2(ACTIVE(plus(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1))), ENCARG(cons_plus(cons_U22(z0, z1, z2), x1)))
   ENCARG(cons_active(cons_plus(cons_x(z0, z1), x1))) -> c2(ACTIVE(plus(x(encArg(z0), encArg(z1)), encArg(x1))), ENCARG(cons_plus(cons_x(z0, z1), x1)))
   ENCARG(cons_active(cons_U21(x0, x1, tt))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), tt)), ENCARG(cons_U21(x0, x1, tt)))
   ENCARG(cons_active(cons_U21(x0, x1, 0))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), 0)), ENCARG(cons_U21(x0, x1, 0)))
   ENCARG(cons_active(cons_U21(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U21(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U21(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U21(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U21(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U21(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U21(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U21(x0, tt, x2))) -> c2(ACTIVE(U21(encArg(x0), tt, encArg(x2))), ENCARG(cons_U21(x0, tt, x2)))
   ENCARG(cons_active(cons_U21(x0, 0, x2))) -> c2(ACTIVE(U21(encArg(x0), 0, encArg(x2))), ENCARG(cons_U21(x0, 0, x2)))
   ENCARG(cons_active(cons_U21(x0, cons_active(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_s(z0), x2))) -> c2(ACTIVE(U21(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U21(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U21(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U21(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U21(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U21(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U21(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U21(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U21(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U21(tt, x1, x2))) -> c2(ACTIVE(U21(tt, encArg(x1), encArg(x2))), ENCARG(cons_U21(tt, x1, x2)))
   ENCARG(cons_active(cons_U21(0, x1, x2))) -> c2(ACTIVE(U21(0, encArg(x1), encArg(x2))), ENCARG(cons_U21(0, x1, x2)))
   ENCARG(cons_active(cons_U21(cons_active(z0), x1, x2))) -> c2(ACTIVE(U21(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U21(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_s(z0), x1, x2))) -> c2(ACTIVE(U21(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U21(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U21(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U21(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U21(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U21(cons_x(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U22(x0, x1, tt))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), tt)), ENCARG(cons_U22(x0, x1, tt)))
   ENCARG(cons_active(cons_U22(x0, x1, 0))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), 0)), ENCARG(cons_U22(x0, x1, 0)))
   ENCARG(cons_active(cons_U22(x0, x1, cons_active(z0)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), active(encArg(z0)))), ENCARG(cons_U22(x0, x1, cons_active(z0))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_mark(z0)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), mark(encArg(z0)))), ENCARG(cons_U22(x0, x1, cons_mark(z0))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U11(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U11(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U11(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U12(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U12(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U12(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_s(z0)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), s(encArg(z0)))), ENCARG(cons_U22(x0, x1, cons_s(z0))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_plus(z0, z1)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), plus(encArg(z0), encArg(z1)))), ENCARG(cons_U22(x0, x1, cons_plus(z0, z1))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U21(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U21(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U21(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_U22(z0, z1, z2)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), U22(encArg(z0), encArg(z1), encArg(z2)))), ENCARG(cons_U22(x0, x1, cons_U22(z0, z1, z2))))
   ENCARG(cons_active(cons_U22(x0, x1, cons_x(z0, z1)))) -> c2(ACTIVE(U22(encArg(x0), encArg(x1), x(encArg(z0), encArg(z1)))), ENCARG(cons_U22(x0, x1, cons_x(z0, z1))))
   ENCARG(cons_active(cons_U22(x0, tt, x2))) -> c2(ACTIVE(U22(encArg(x0), tt, encArg(x2))), ENCARG(cons_U22(x0, tt, x2)))
   ENCARG(cons_active(cons_U22(x0, 0, x2))) -> c2(ACTIVE(U22(encArg(x0), 0, encArg(x2))), ENCARG(cons_U22(x0, 0, x2)))
   ENCARG(cons_active(cons_U22(x0, cons_active(z0), x2))) -> c2(ACTIVE(U22(encArg(x0), active(encArg(z0)), encArg(x2))), ENCARG(cons_U22(x0, cons_active(z0), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_mark(z0), x2))) -> c2(ACTIVE(U22(encArg(x0), mark(encArg(z0)), encArg(x2))), ENCARG(cons_U22(x0, cons_mark(z0), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U11(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U11(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U12(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U12(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_s(z0), x2))) -> c2(ACTIVE(U22(encArg(x0), s(encArg(z0)), encArg(x2))), ENCARG(cons_U22(x0, cons_s(z0), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_plus(z0, z1), x2))) -> c2(ACTIVE(U22(encArg(x0), plus(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U22(x0, cons_plus(z0, z1), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U21(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U21(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_U22(z0, z1, z2), x2))) -> c2(ACTIVE(U22(encArg(x0), U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x2))), ENCARG(cons_U22(x0, cons_U22(z0, z1, z2), x2)))
   ENCARG(cons_active(cons_U22(x0, cons_x(z0, z1), x2))) -> c2(ACTIVE(U22(encArg(x0), x(encArg(z0), encArg(z1)), encArg(x2))), ENCARG(cons_U22(x0, cons_x(z0, z1), x2)))
   ENCARG(cons_active(cons_U22(tt, x1, x2))) -> c2(ACTIVE(U22(tt, encArg(x1), encArg(x2))), ENCARG(cons_U22(tt, x1, x2)))
   ENCARG(cons_active(cons_U22(0, x1, x2))) -> c2(ACTIVE(U22(0, encArg(x1), encArg(x2))), ENCARG(cons_U22(0, x1, x2)))
   ENCARG(cons_active(cons_U22(cons_active(z0), x1, x2))) -> c2(ACTIVE(U22(active(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_active(z0), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_mark(z0), x1, x2))) -> c2(ACTIVE(U22(mark(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_mark(z0), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U11(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U11(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U11(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U12(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U12(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U12(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_s(z0), x1, x2))) -> c2(ACTIVE(U22(s(encArg(z0)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_s(z0), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_plus(z0, z1), x1, x2))) -> c2(ACTIVE(U22(plus(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_plus(z0, z1), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U21(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U21(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U21(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_U22(z0, z1, z2), x1, x2))) -> c2(ACTIVE(U22(U22(encArg(z0), encArg(z1), encArg(z2)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_U22(z0, z1, z2), x1, x2)))
   ENCARG(cons_active(cons_U22(cons_x(z0, z1), x1, x2))) -> c2(ACTIVE(U22(x(encArg(z0), encArg(z1)), encArg(x1), encArg(x2))), ENCARG(cons_U22(cons_x(z0, z1), x1, x2)))
S tuples:
   ACTIVE(U11(tt, z0, z1)) -> c22(MARK(U12(tt, z0, z1)), U12'(tt, z0, z1))
   ACTIVE(U21(tt, z0, z1)) -> c24(MARK(U22(tt, z0, z1)), U22'(tt, z0, z1))
   ACTIVE(plus(z0, 0)) -> c26(MARK(z0))
   ACTIVE(plus(z0, s(z1))) -> c27(MARK(U11(tt, z1, z0)), U11'(tt, z1, z0))
   ACTIVE(x(z0, 0)) -> c28(MARK(0))
   ACTIVE(x(z0, s(z1))) -> c29(MARK(U21(tt, z1, z0)), U21'(tt, z1, z0))
   U11'(mark(z0), z1, z2) -> c39(U11'(z0, z1, z2))
   U11'(z0, mark(z1), z2) -> c40(U11'(z0, z1, z2))
   U11'(z0, z1, mark(z2)) -> c41(U11'(z0, z1, z2))
   U11'(active(z0), z1, z2) -> c42(U11'(z0, z1, z2))
   U11'(z0, active(z1), z2) -> c43(U11'(z0, z1, z2))
   U11'(z0, z1, active(z2)) -> c44(U11'(z0, z1, z2))
   U12'(mark(z0), z1, z2) -> c45(U12'(z0, z1, z2))
   U12'(z0, mark(z1), z2) -> c46(U12'(z0, z1, z2))
   U12'(z0, z1, mark(z2)) -> c47(U12'(z0, z1, z2))
   U12'(active(z0), z1, z2) -> c48(U12'(z0, z1, z2))
   U12'(z0, active(z1), z2) -> c49(U12'(z0, z1, z2))
   U12'(z0, z1, active(z2)) -> c50(U12'(z0, z1, z2))
   S(mark(z0)) -> c51(S(z0))
   S(active(z0)) -> c52(S(z0))
   PLUS(mark(z0), z1) -> c53(PLUS(z0, z1))
   PLUS(z0, mark(z1)) -> c54(PLUS(z0, z1))
   PLUS(active(z0), z1) -> c55(PLUS(z0, z1))
   PLUS(z0, active(z1)) -> c56(PLUS(z0, z1))
   U21'(mark(z0), z1, z2) -> c57(U21'(z0, z1, z2))
   U21'(z0, mark(z1), z2) -> c58(U21'(z0, z1, z2))
   U21'(z0, z1, mark(z2)) -> c59(U21'(z0, z1, z2))
   U21'(active(z0), z1, z2) -> c60(U21'(z0, z1, z2))
   U21'(z0, active(z1), z2) -> c61(U21'(z0, z1, z2))
   U21'(z0, z1, active(z2)) -> c62(U21'(z0, z1, z2))
   U22'(mark(z0), z1, z2) -> c63(U22'(z0, z1, z2))
   U22'(z0, mark(z1), z2) -> c64(U22'(z0, z1, z2))
   U22'(z0, z1, mark(z2)) -> c65(U22'(z0, z1, z2))
   U22'(active(z0), z1, z2) -> c66(U22'(z0, z1, z2))
   U22'(z0, active(z1), z2) -> c67(U22'(z0, z1, z2))
   U22'(z0, z1, active(z2)) -> c68(U22'(z0, z1, z2))
   X(mark(z0), z1) -> c69(X(z0, z1))
   X(z0, mark(z1)) -> c70(X(z0, z1))
   X(active(z0), z1) -> c71(X(z0, z1))
   X(z0, active(z1)) -> c72(X(z0, z1))
   ACTIVE(U12(tt, z0, z1)) -> c23(MARK(s(plus(z1, z0))), PLUS(z1, z0))
   ACTIVE(U22(tt, z0, z1)) -> c25(MARK(plus(x(z1, z0), z1)), X(z1, z0))
   MARK(tt) -> c31
   MARK(0) -> c38
   MARK(U11(z0, z1, z2)) -> c30(ACTIVE(U11(z0, z1, z2)), U11'(mark(z0), z1, z2), MARK(z0))
   MARK(U11(U11(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U11(mark(z0), z1, z2)), x1, x2)), U11'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U11(tt, x1, x2)) -> c30(ACTIVE(U11(active(tt), x1, x2)), U11'(mark(tt), x1, x2), MARK(tt))
   MARK(U11(U12(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U12(mark(z0), z1, z2)), x1, x2)), U11'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U11(s(z0), x1, x2)) -> c30(ACTIVE(U11(active(s(mark(z0))), x1, x2)), U11'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U11(plus(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(plus(mark(z0), mark(z1))), x1, x2)), U11'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U11(U21(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U21(mark(z0), z1, z2)), x1, x2)), U11'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U11(U22(z0, z1, z2), x1, x2)) -> c30(ACTIVE(U11(active(U22(mark(z0), z1, z2)), x1, x2)), U11'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U11(x(z0, z1), x1, x2)) -> c30(ACTIVE(U11(active(x(mark(z0), mark(z1))), x1, x2)), U11'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U11(0, x1, x2)) -> c30(ACTIVE(U11(active(0), x1, x2)), U11'(mark(0), x1, x2), MARK(0))
   MARK(U11(x0, x1, x2)) -> c30(U11'(mark(x0), x1, x2))
   MARK(U12(z0, z1, z2)) -> c32(ACTIVE(U12(z0, z1, z2)), U12'(mark(z0), z1, z2), MARK(z0))
   MARK(U12(U11(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U11(mark(z0), z1, z2)), x1, x2)), U12'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U12(tt, x1, x2)) -> c32(ACTIVE(U12(active(tt), x1, x2)), U12'(mark(tt), x1, x2), MARK(tt))
   MARK(U12(U12(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U12(mark(z0), z1, z2)), x1, x2)), U12'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U12(s(z0), x1, x2)) -> c32(ACTIVE(U12(active(s(mark(z0))), x1, x2)), U12'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U12(plus(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(plus(mark(z0), mark(z1))), x1, x2)), U12'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U12(U21(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U21(mark(z0), z1, z2)), x1, x2)), U12'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U12(U22(z0, z1, z2), x1, x2)) -> c32(ACTIVE(U12(active(U22(mark(z0), z1, z2)), x1, x2)), U12'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U12(x(z0, z1), x1, x2)) -> c32(ACTIVE(U12(active(x(mark(z0), mark(z1))), x1, x2)), U12'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U12(0, x1, x2)) -> c32(ACTIVE(U12(active(0), x1, x2)), U12'(mark(0), x1, x2), MARK(0))
   MARK(U12(x0, x1, x2)) -> c32(U12'(mark(x0), x1, x2))
   MARK(s(U11(z0, z1, z2))) -> c33(ACTIVE(s(active(U11(mark(z0), z1, z2)))), S(mark(U11(z0, z1, z2))), MARK(U11(z0, z1, z2)))
   MARK(s(tt)) -> c33(ACTIVE(s(active(tt))), S(mark(tt)), MARK(tt))
   MARK(s(U12(z0, z1, z2))) -> c33(ACTIVE(s(active(U12(mark(z0), z1, z2)))), S(mark(U12(z0, z1, z2))), MARK(U12(z0, z1, z2)))
   MARK(s(s(z0))) -> c33(ACTIVE(s(active(s(mark(z0))))), S(mark(s(z0))), MARK(s(z0)))
   MARK(s(plus(z0, z1))) -> c33(ACTIVE(s(active(plus(mark(z0), mark(z1))))), S(mark(plus(z0, z1))), MARK(plus(z0, z1)))
   MARK(s(U21(z0, z1, z2))) -> c33(ACTIVE(s(active(U21(mark(z0), z1, z2)))), S(mark(U21(z0, z1, z2))), MARK(U21(z0, z1, z2)))
   MARK(s(U22(z0, z1, z2))) -> c33(ACTIVE(s(active(U22(mark(z0), z1, z2)))), S(mark(U22(z0, z1, z2))), MARK(U22(z0, z1, z2)))
   MARK(s(x(z0, z1))) -> c33(ACTIVE(s(active(x(mark(z0), mark(z1))))), S(mark(x(z0, z1))), MARK(x(z0, z1)))
   MARK(s(0)) -> c33(ACTIVE(s(active(0))), S(mark(0)), MARK(0))
   MARK(s(z0)) -> c33(S(mark(z0)), MARK(z0))
   MARK(plus(z0, x1)) -> c34(ACTIVE(plus(z0, mark(x1))), PLUS(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(plus(x0, z1)) -> c34(ACTIVE(plus(mark(x0), z1)), PLUS(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(plus(x0, U11(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U11(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(plus(x0, tt)) -> c34(ACTIVE(plus(mark(x0), active(tt))), PLUS(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(plus(x0, U12(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U12(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(plus(x0, s(z0))) -> c34(ACTIVE(plus(mark(x0), active(s(mark(z0))))), PLUS(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(plus(x0, plus(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(plus(mark(z0), mark(z1))))), PLUS(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(plus(x0, U21(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U21(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(plus(x0, U22(z0, z1, z2))) -> c34(ACTIVE(plus(mark(x0), active(U22(mark(z0), z1, z2)))), PLUS(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(plus(x0, x(z0, z1))) -> c34(ACTIVE(plus(mark(x0), active(x(mark(z0), mark(z1))))), PLUS(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(plus(x0, 0)) -> c34(ACTIVE(plus(mark(x0), active(0))), PLUS(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(plus(U11(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U11(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(plus(tt, x1)) -> c34(ACTIVE(plus(active(tt), mark(x1))), PLUS(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(plus(U12(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U12(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(plus(s(z0), x1)) -> c34(ACTIVE(plus(active(s(mark(z0))), mark(x1))), PLUS(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(plus(plus(z0, z1), x1)) -> c34(ACTIVE(plus(active(plus(mark(z0), mark(z1))), mark(x1))), PLUS(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(plus(U21(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U21(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(plus(U22(z0, z1, z2), x1)) -> c34(ACTIVE(plus(active(U22(mark(z0), z1, z2)), mark(x1))), PLUS(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(plus(x(z0, z1), x1)) -> c34(ACTIVE(plus(active(x(mark(z0), mark(z1))), mark(x1))), PLUS(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(plus(0, x1)) -> c34(ACTIVE(plus(active(0), mark(x1))), PLUS(mark(0), mark(x1)), MARK(0), MARK(x1))
   MARK(U21(z0, z1, z2)) -> c35(ACTIVE(U21(z0, z1, z2)), U21'(mark(z0), z1, z2), MARK(z0))
   MARK(U21(U11(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U11(mark(z0), z1, z2)), x1, x2)), U21'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U21(tt, x1, x2)) -> c35(ACTIVE(U21(active(tt), x1, x2)), U21'(mark(tt), x1, x2), MARK(tt))
   MARK(U21(U12(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U12(mark(z0), z1, z2)), x1, x2)), U21'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U21(s(z0), x1, x2)) -> c35(ACTIVE(U21(active(s(mark(z0))), x1, x2)), U21'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U21(plus(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(plus(mark(z0), mark(z1))), x1, x2)), U21'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U21(U21(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U21(mark(z0), z1, z2)), x1, x2)), U21'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U21(U22(z0, z1, z2), x1, x2)) -> c35(ACTIVE(U21(active(U22(mark(z0), z1, z2)), x1, x2)), U21'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U21(x(z0, z1), x1, x2)) -> c35(ACTIVE(U21(active(x(mark(z0), mark(z1))), x1, x2)), U21'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U21(0, x1, x2)) -> c35(ACTIVE(U21(active(0), x1, x2)), U21'(mark(0), x1, x2), MARK(0))
   MARK(U21(x0, x1, x2)) -> c35(U21'(mark(x0), x1, x2))
   MARK(U22(z0, z1, z2)) -> c36(ACTIVE(U22(z0, z1, z2)), U22'(mark(z0), z1, z2), MARK(z0))
   MARK(U22(U11(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U11(mark(z0), z1, z2)), x1, x2)), U22'(mark(U11(z0, z1, z2)), x1, x2), MARK(U11(z0, z1, z2)))
   MARK(U22(tt, x1, x2)) -> c36(ACTIVE(U22(active(tt), x1, x2)), U22'(mark(tt), x1, x2), MARK(tt))
   MARK(U22(U12(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U12(mark(z0), z1, z2)), x1, x2)), U22'(mark(U12(z0, z1, z2)), x1, x2), MARK(U12(z0, z1, z2)))
   MARK(U22(s(z0), x1, x2)) -> c36(ACTIVE(U22(active(s(mark(z0))), x1, x2)), U22'(mark(s(z0)), x1, x2), MARK(s(z0)))
   MARK(U22(plus(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(plus(mark(z0), mark(z1))), x1, x2)), U22'(mark(plus(z0, z1)), x1, x2), MARK(plus(z0, z1)))
   MARK(U22(U21(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U21(mark(z0), z1, z2)), x1, x2)), U22'(mark(U21(z0, z1, z2)), x1, x2), MARK(U21(z0, z1, z2)))
   MARK(U22(U22(z0, z1, z2), x1, x2)) -> c36(ACTIVE(U22(active(U22(mark(z0), z1, z2)), x1, x2)), U22'(mark(U22(z0, z1, z2)), x1, x2), MARK(U22(z0, z1, z2)))
   MARK(U22(x(z0, z1), x1, x2)) -> c36(ACTIVE(U22(active(x(mark(z0), mark(z1))), x1, x2)), U22'(mark(x(z0, z1)), x1, x2), MARK(x(z0, z1)))
   MARK(U22(0, x1, x2)) -> c36(ACTIVE(U22(active(0), x1, x2)), U22'(mark(0), x1, x2), MARK(0))
   MARK(U22(x0, x1, x2)) -> c36(U22'(mark(x0), x1, x2))
   MARK(x(z0, x1)) -> c37(ACTIVE(x(z0, mark(x1))), X(mark(z0), mark(x1)), MARK(z0), MARK(x1))
   MARK(x(x0, z1)) -> c37(ACTIVE(x(mark(x0), z1)), X(mark(x0), mark(z1)), MARK(x0), MARK(z1))
   MARK(x(x0, U11(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U11(mark(z0), z1, z2)))), X(mark(x0), mark(U11(z0, z1, z2))), MARK(x0), MARK(U11(z0, z1, z2)))
   MARK(x(x0, tt)) -> c37(ACTIVE(x(mark(x0), active(tt))), X(mark(x0), mark(tt)), MARK(x0), MARK(tt))
   MARK(x(x0, U12(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U12(mark(z0), z1, z2)))), X(mark(x0), mark(U12(z0, z1, z2))), MARK(x0), MARK(U12(z0, z1, z2)))
   MARK(x(x0, s(z0))) -> c37(ACTIVE(x(mark(x0), active(s(mark(z0))))), X(mark(x0), mark(s(z0))), MARK(x0), MARK(s(z0)))
   MARK(x(x0, plus(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(plus(mark(z0), mark(z1))))), X(mark(x0), mark(plus(z0, z1))), MARK(x0), MARK(plus(z0, z1)))
   MARK(x(x0, U21(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U21(mark(z0), z1, z2)))), X(mark(x0), mark(U21(z0, z1, z2))), MARK(x0), MARK(U21(z0, z1, z2)))
   MARK(x(x0, U22(z0, z1, z2))) -> c37(ACTIVE(x(mark(x0), active(U22(mark(z0), z1, z2)))), X(mark(x0), mark(U22(z0, z1, z2))), MARK(x0), MARK(U22(z0, z1, z2)))
   MARK(x(x0, x(z0, z1))) -> c37(ACTIVE(x(mark(x0), active(x(mark(z0), mark(z1))))), X(mark(x0), mark(x(z0, z1))), MARK(x0), MARK(x(z0, z1)))
   MARK(x(x0, 0)) -> c37(ACTIVE(x(mark(x0), active(0))), X(mark(x0), mark(0)), MARK(x0), MARK(0))
   MARK(x(U11(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U11(mark(z0), z1, z2)), mark(x1))), X(mark(U11(z0, z1, z2)), mark(x1)), MARK(U11(z0, z1, z2)), MARK(x1))
   MARK(x(tt, x1)) -> c37(ACTIVE(x(active(tt), mark(x1))), X(mark(tt), mark(x1)), MARK(tt), MARK(x1))
   MARK(x(U12(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U12(mark(z0), z1, z2)), mark(x1))), X(mark(U12(z0, z1, z2)), mark(x1)), MARK(U12(z0, z1, z2)), MARK(x1))
   MARK(x(s(z0), x1)) -> c37(ACTIVE(x(active(s(mark(z0))), mark(x1))), X(mark(s(z0)), mark(x1)), MARK(s(z0)), MARK(x1))
   MARK(x(plus(z0, z1), x1)) -> c37(ACTIVE(x(active(plus(mark(z0), mark(z1))), mark(x1))), X(mark(plus(z0, z1)), mark(x1)), MARK(plus(z0, z1)), MARK(x1))
   MARK(x(U21(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U21(mark(z0), z1, z2)), mark(x1))), X(mark(U21(z0, z1, z2)), mark(x1)), MARK(U21(z0, z1, z2)), MARK(x1))
   MARK(x(U22(z0, z1, z2), x1)) -> c37(ACTIVE(x(active(U22(mark(z0), z1, z2)), mark(x1))), X(mark(U22(z0, z1, z2)), mark(x1)), MARK(U22(z0, z1, z2)), MARK(x1))
   MARK(x(x(z0, z1), x1)) -> c37(ACTIVE(x(active(x(mark(z0), mark(z1))), mark(x1))), X(mark(x(z0, z1)), mark(x1)), MARK(x(z0, z1)), MARK(x1))
   MARK(x(0, x1)) -> c37(ACTIVE(x(active(0), mark(x1))), X(mark(0), mark(x1)), MARK(0), MARK(x1))
K tuples:none
Defined Rule Symbols:   encArg_1, active_1, mark_1, U11_3, U12_3, s_1, plus_2, U21_3, U22_3, x_2

Defined Pair Symbols:   ACTIVE_1, U11'_3, U12'_3, S_1, PLUS_2, U21'_3, U22'_3, X_2, MARK_1, ENCARG_1, ENCODE_ACTIVE_1, ENCODE_U11_3, ENCODE_MARK_1, ENCODE_U12_3, ENCODE_S_1, ENCODE_PLUS_2, ENCODE_U21_3, ENCODE_U22_3, ENCODE_X_2

Compound Symbols:   c22_2, c24_2, c26_1, c27_2, c28_1, c29_2, c39_1, c40_1, c41_1, c42_1, c43_1, c44_1, c45_1, c46_1, c47_1, c48_1, c49_1, c50_1, c51_1, c52_1, c53_1, c54_1, c55_1, c56_1, c57_1, c58_1, c59_1, c60_1, c61_1, c62_1, c63_1, c64_1, c65_1, c66_1, c67_1, c68_1, c69_1, c70_1, c71_1, c72_1, c23_2, c25_2, c31, c38, c2_2, c3_2, c3_1, c4_4, c4_3, c5_4, c5_3, c6_2, c7_3, c7_2, c8_4, c8_3, c9_4, c9_3, c10_3, c10_2, c30_3, c30_1, c32_3, c32_1, c33_3, c33_2, c34_4, c35_3, c35_1, c36_3, c36_1, c37_4, c_1, c1_1