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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


The Derivational Complexity (full) 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), 68 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 498 ms]
    (12) BOUNDS(1, INF)
(13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(14) TRS for Loop Detection
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RcToIrcProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxRelTRS
    (21) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxWeightedTrs
        (23) CpxWeightedTrsRenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxWeightedTrs
        (25) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (26) CpxTypedWeightedTrs
        (27) CompletionProof [UPPER BOUND(ID), 3 ms]
        (28) CpxTypedWeightedCompleteTrs
            (29) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (30) CpxRNTS
        (31) CompletionProof [UPPER BOUND(ID), 3 ms]
        (32) CpxTypedWeightedCompleteTrs
            (33) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
            (34) CpxTypedWeightedCompleteTrs
            (35) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 12 ms]
            (36) CpxRNTS
            (37) SimplificationProof [BOTH BOUNDS(ID, ID), 10 ms]
            (38) CpxRNTS
    (39) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
    (40) CdtProblem
        (41) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (42) CdtProblem
        (43) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (44) CdtProblem
        (45) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (46) CdtProblem
        (47) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
        (48) CdtProblem
        (49) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 12 ms]
        (50) CdtProblem
        (51) CdtRuleRemovalProof [UPPER BOUND(ADD(n^2)), 820 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (54) CdtProblem
        (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (58) CdtProblem
        (59) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (60) CdtProblem
        (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (64) CdtProblem
        (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms]
        (70) CdtProblem
        (71) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (72) CdtProblem
        (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (74) CdtProblem
        (75) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (76) CdtProblem
        (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (80) CdtProblem
        (81) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (82) CdtProblem
        (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (84) CdtProblem
        (85) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (86) CdtProblem
        (87) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms]
        (90) CdtProblem
        (91) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (92) CdtProblem
        (93) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (94) CdtProblem
        (95) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (96) CdtProblem
        (97) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (98) CdtProblem
        (99) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (100) CdtProblem
        (101) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (102) CdtProblem
        (103) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (104) CdtProblem
        (105) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (106) CdtProblem
        (107) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (108) CdtProblem
        (109) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (110) CdtProblem
        (111) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (112) CdtProblem
        (113) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (114) CdtProblem
        (115) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (116) CdtProblem
        (117) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (118) CdtProblem
        (119) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (120) CdtProblem
        (121) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (122) CdtProblem
        (123) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (124) CdtProblem
        (125) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms]
        (126) CdtProblem
        (127) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (128) CdtProblem
        (129) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (130) CdtProblem
        (131) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (132) CdtProblem
        (133) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (134) CdtProblem
        (135) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (136) CdtProblem
        (137) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (138) CdtProblem
        (139) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (140) CdtProblem
        (141) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (142) CdtProblem
        (143) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (144) CdtProblem
        (145) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (146) CdtProblem
        (147) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (148) CdtProblem
        (149) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (150) CdtProblem
        (151) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (152) CdtProblem
        (153) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (154) CdtProblem
        (155) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (156) CdtProblem
        (157) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (158) CdtProblem
        (159) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (160) CdtProblem
        (161) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (162) CdtProblem
        (163) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (164) CdtProblem
        (165) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 6 ms]
        (166) CdtProblem
        (167) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (168) CdtProblem
        (169) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 2 ms]
        (170) CdtProblem
        (171) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (172) CdtProblem
        (173) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms]
        (174) CdtProblem
        (175) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (176) CdtProblem
        (177) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (178) CdtProblem
        (179) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (180) CdtProblem
        (181) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (182) CdtProblem
        (183) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (184) CdtProblem
        (185) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 10 ms]
        (186) CdtProblem
        (187) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (188) CdtProblem
        (189) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms]
        (190) CdtProblem
        (191) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (192) CdtProblem
        (193) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (194) CdtProblem
        (195) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 8 ms]
        (196) CdtProblem
        (197) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (198) CdtProblem
        (199) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (200) CdtProblem
        (201) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (202) CdtProblem
        (203) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 4 ms]
        (204) CdtProblem
        (205) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (206) CdtProblem
        (207) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (208) CdtProblem
        (209) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (210) CdtProblem
        (211) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (212) CdtProblem
        (213) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 12 ms]
        (214) CdtProblem
        (215) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (216) CdtProblem
        (217) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (218) CdtProblem
        (219) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (220) CdtProblem
        (221) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (222) CdtProblem
        (223) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (224) CdtProblem
        (225) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (226) CdtProblem
        (227) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (228) CdtProblem
        (229) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (230) CdtProblem
        (231) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
        (232) CdtProblem
        (233) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (234) CdtProblem
        (235) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (236) CdtProblem
        (237) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (238) CdtProblem
        (239) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (240) CdtProblem
        (241) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (242) CdtProblem
        (243) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 5 ms]
        (244) CdtProblem
        (245) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (246) CdtProblem
        (247) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
        (248) CdtProblem
        (249) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
        (250) CdtProblem


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

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


The TRS R consists of the following rules:

   1(2(1(x1))) -> 2(0(2(x1)))
   0(2(1(x1))) -> 1(0(2(x1)))
   L(2(1(x1))) -> L(1(0(2(x1))))
   1(2(0(x1))) -> 2(0(1(x1)))
   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(0(x1))) -> 1(0(1(x1)))
   L(2(0(x1))) -> L(1(0(1(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))

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

(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(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))


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

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


The TRS R consists of the following rules:

   1(2(1(x1))) -> 2(0(2(x1)))
   0(2(1(x1))) -> 1(0(2(x1)))
   L(2(1(x1))) -> L(1(0(2(x1))))
   1(2(0(x1))) -> 2(0(1(x1)))
   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(0(x1))) -> 1(0(1(x1)))
   L(2(0(x1))) -> L(1(0(1(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

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


The TRS R consists of the following rules:

   1(2(1(x1))) -> 2(0(2(x1)))
   0(2(1(x1))) -> 1(0(2(x1)))
   L(2(1(x1))) -> L(1(0(2(x1))))
   1(2(0(x1))) -> 2(0(1(x1)))
   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(0(x1))) -> 1(0(1(x1)))
   L(2(0(x1))) -> L(1(0(1(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

(6)
Obligation:
The Runtime Complexity (full) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   1(2(1(x1))) -> 2(0(2(x1)))
   0(2(1(x1))) -> 1(0(2(x1)))
   L(2(1(x1))) -> L(1(0(2(x1))))
   1(2(0(x1))) -> 2(0(1(x1)))
   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(0(x1))) -> 1(0(1(x1)))
   L(2(0(x1))) -> L(1(0(1(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

(8)
Obligation:
TRS:
Rules:
1(2(1(x1))) -> 2(0(2(x1)))
0(2(1(x1))) -> 1(0(2(x1)))
L(2(1(x1))) -> L(1(0(2(x1))))
1(2(0(x1))) -> 2(0(1(x1)))
1(2(R(x1))) -> 2(0(1(R(x1))))
0(2(0(x1))) -> 1(0(1(x1)))
L(2(0(x1))) -> L(1(0(1(x1))))
0(2(R(x1))) -> 1(0(1(R(x1))))
encArg(2(x_1)) -> 2(encArg(x_1))
encArg(R(x_1)) -> R(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_L(x_1)) -> L(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_L(x_1) -> L(encArg(x_1))
encode_R(x_1) -> R(encArg(x_1))

Types:
1 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
2 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
0 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
L :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
R :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encArg :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
cons_1 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
cons_0 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
cons_L :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_1 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_2 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_0 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_L :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_R :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
hole_2:R:cons_1:cons_0:cons_L1_3 :: 2:R:cons_1:cons_0:cons_L
gen_2:R:cons_1:cons_0:cons_L2_3 :: Nat -> 2:R:cons_1:cons_0:cons_L

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

(9) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
1, 0, L, encArg

They will be analysed ascendingly in the following order:
1 = 0
1 < L
1 < encArg
0 < L
0 < encArg
L < encArg

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

(10)
Obligation:
TRS:
Rules:
1(2(1(x1))) -> 2(0(2(x1)))
0(2(1(x1))) -> 1(0(2(x1)))
L(2(1(x1))) -> L(1(0(2(x1))))
1(2(0(x1))) -> 2(0(1(x1)))
1(2(R(x1))) -> 2(0(1(R(x1))))
0(2(0(x1))) -> 1(0(1(x1)))
L(2(0(x1))) -> L(1(0(1(x1))))
0(2(R(x1))) -> 1(0(1(R(x1))))
encArg(2(x_1)) -> 2(encArg(x_1))
encArg(R(x_1)) -> R(encArg(x_1))
encArg(cons_1(x_1)) -> 1(encArg(x_1))
encArg(cons_0(x_1)) -> 0(encArg(x_1))
encArg(cons_L(x_1)) -> L(encArg(x_1))
encode_1(x_1) -> 1(encArg(x_1))
encode_2(x_1) -> 2(encArg(x_1))
encode_0(x_1) -> 0(encArg(x_1))
encode_L(x_1) -> L(encArg(x_1))
encode_R(x_1) -> R(encArg(x_1))

Types:
1 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
2 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
0 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
L :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
R :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encArg :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
cons_1 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
cons_0 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
cons_L :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_1 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_2 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_0 :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_L :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
encode_R :: 2:R:cons_1:cons_0:cons_L -> 2:R:cons_1:cons_0:cons_L
hole_2:R:cons_1:cons_0:cons_L1_3 :: 2:R:cons_1:cons_0:cons_L
gen_2:R:cons_1:cons_0:cons_L2_3 :: Nat -> 2:R:cons_1:cons_0:cons_L


Generator Equations:
gen_2:R:cons_1:cons_0:cons_L2_3(0) <=> hole_2:R:cons_1:cons_0:cons_L1_3
gen_2:R:cons_1:cons_0:cons_L2_3(+(x, 1)) <=> 2(gen_2:R:cons_1:cons_0:cons_L2_3(x))


The following defined symbols remain to be analysed:
0, 1, L, encArg

They will be analysed ascendingly in the following order:
1 = 0
1 < L
1 < encArg
0 < L
0 < encArg
L < encArg

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_2:R:cons_1:cons_0:cons_L2_3(+(1, n45_3))) -> *3_3, rt in Omega(0)

Induction Base:
encArg(gen_2:R:cons_1:cons_0:cons_L2_3(+(1, 0)))

Induction Step:
encArg(gen_2:R:cons_1:cons_0:cons_L2_3(+(1, +(n45_3, 1)))) ->_R^Omega(0)
2(encArg(gen_2:R:cons_1:cons_0:cons_L2_3(+(1, n45_3)))) ->_IH
2(*3_3)

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

(12)
BOUNDS(1, INF)

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

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

(14)
Obligation:
Analyzing the following TRS for decreasing loops:

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


The TRS R consists of the following rules:

   1(2(1(x1))) -> 2(0(2(x1)))
   0(2(1(x1))) -> 1(0(2(x1)))
   L(2(1(x1))) -> L(1(0(2(x1))))
   1(2(0(x1))) -> 2(0(1(x1)))
   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(0(x1))) -> 1(0(1(x1)))
   L(2(0(x1))) -> L(1(0(1(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))

Rewrite Strategy: FULL
----------------------------------------

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

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


The TRS R consists of the following rules:

   1(2(1(x1))) -> 2(0(2(x1)))
   0(2(1(x1))) -> 1(0(2(x1)))
   L(2(1(x1))) -> L(1(0(2(x1))))
   1(2(0(x1))) -> 2(0(1(x1)))
   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(0(x1))) -> 1(0(1(x1)))
   L(2(0(x1))) -> L(1(0(1(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))
   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))
   0(2(c_1(x1))) -> 1(0(2(x1)))
   1(2(c_1(x1))) -> 2(0(2(x1)))
   0(2(c_0(x1))) -> 1(0(1(x1)))
   1(2(c_0(x1))) -> 2(0(1(x1)))
   L(2(c_0(x1))) -> L(1(0(1(x1))))
   L(2(c_1(x1))) -> L(1(0(2(x1))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)

Rewrite Strategy: FULL
----------------------------------------

(19) RcToIrcProof (BOTH BOUNDS(ID, ID))
Converted rc-obligation to irc-obligation.

As the TRS is a non-duplicating overlay system, we have rc = irc.
----------------------------------------

(20)
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:

   1(2(R(x1))) -> 2(0(1(R(x1))))
   0(2(R(x1))) -> 1(0(1(R(x1))))
   0(2(c_1(x1))) -> 1(0(2(x1)))
   1(2(c_1(x1))) -> 2(0(2(x1)))
   0(2(c_0(x1))) -> 1(0(1(x1)))
   1(2(c_0(x1))) -> 2(0(1(x1)))
   L(2(c_0(x1))) -> L(1(0(1(x1))))
   L(2(c_1(x1))) -> L(1(0(2(x1))))

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

   encArg(2(x_1)) -> 2(encArg(x_1))
   encArg(R(x_1)) -> R(encArg(x_1))
   encArg(cons_1(x_1)) -> 1(encArg(x_1))
   encArg(cons_0(x_1)) -> 0(encArg(x_1))
   encArg(cons_L(x_1)) -> L(encArg(x_1))
   encode_1(x_1) -> 1(encArg(x_1))
   encode_2(x_1) -> 2(encArg(x_1))
   encode_0(x_1) -> 0(encArg(x_1))
   encode_L(x_1) -> L(encArg(x_1))
   encode_R(x_1) -> R(encArg(x_1))
   0(x0) -> c_0(x0)
   1(x0) -> c_1(x0)

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

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

(22)
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:

   1(2(R(x1))) -> 2(0(1(R(x1)))) [1]
   0(2(R(x1))) -> 1(0(1(R(x1)))) [1]
   0(2(c_1(x1))) -> 1(0(2(x1))) [1]
   1(2(c_1(x1))) -> 2(0(2(x1))) [1]
   0(2(c_0(x1))) -> 1(0(1(x1))) [1]
   1(2(c_0(x1))) -> 2(0(1(x1))) [1]
   L(2(c_0(x1))) -> L(1(0(1(x1)))) [1]
   L(2(c_1(x1))) -> L(1(0(2(x1)))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(R(x_1)) -> R(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0(encArg(x_1)) [0]
   encArg(cons_L(x_1)) -> L(encArg(x_1)) [0]
   encode_1(x_1) -> 1(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0(encArg(x_1)) [0]
   encode_L(x_1) -> L(encArg(x_1)) [0]
   encode_R(x_1) -> R(encArg(x_1)) [0]
   0(x0) -> c_0(x0) [0]
   1(x0) -> c_1(x0) [0]

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

(23) CpxWeightedTrsRenamingProof (BOTH BOUNDS(ID, ID))
Renamed defined symbols to avoid conflicts with arithmetic symbols:

1 => 1'
0 => 0'

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

(24)
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:

   1'(2(R(x1))) -> 2(0'(1'(R(x1)))) [1]
   0'(2(R(x1))) -> 1'(0'(1'(R(x1)))) [1]
   0'(2(c_1(x1))) -> 1'(0'(2(x1))) [1]
   1'(2(c_1(x1))) -> 2(0'(2(x1))) [1]
   0'(2(c_0(x1))) -> 1'(0'(1'(x1))) [1]
   1'(2(c_0(x1))) -> 2(0'(1'(x1))) [1]
   L(2(c_0(x1))) -> L(1'(0'(1'(x1)))) [1]
   L(2(c_1(x1))) -> L(1'(0'(2(x1)))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(R(x_1)) -> R(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_L(x_1)) -> L(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_L(x_1) -> L(encArg(x_1)) [0]
   encode_R(x_1) -> R(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]

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

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

(26)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   1'(2(R(x1))) -> 2(0'(1'(R(x1)))) [1]
   0'(2(R(x1))) -> 1'(0'(1'(R(x1)))) [1]
   0'(2(c_1(x1))) -> 1'(0'(2(x1))) [1]
   1'(2(c_1(x1))) -> 2(0'(2(x1))) [1]
   0'(2(c_0(x1))) -> 1'(0'(1'(x1))) [1]
   1'(2(c_0(x1))) -> 2(0'(1'(x1))) [1]
   L(2(c_0(x1))) -> L(1'(0'(1'(x1)))) [1]
   L(2(c_1(x1))) -> L(1'(0'(2(x1)))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(R(x_1)) -> R(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_L(x_1)) -> L(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_L(x_1) -> L(encArg(x_1)) [0]
   encode_R(x_1) -> R(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]

The TRS has the following type information:
1' :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
R :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
0' :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
c_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
c_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
L :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
encArg :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
cons_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
cons_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
cons_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
encode_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
encode_2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
encode_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
encode_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L
encode_R :: R:2:c_1:c_0:cons_1:cons_0:cons_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L

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

(27) 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_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_L(v0) -> null_encode_L [0]
   encode_R(v0) -> null_encode_R [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   L(v0) -> null_L [0]

And the following fresh constants:    null_encArg, null_encode_1, null_encode_2, null_encode_0, null_encode_L, null_encode_R, null_0', null_1', null_L

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

(28)
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:

   1'(2(R(x1))) -> 2(0'(1'(R(x1)))) [1]
   0'(2(R(x1))) -> 1'(0'(1'(R(x1)))) [1]
   0'(2(c_1(x1))) -> 1'(0'(2(x1))) [1]
   1'(2(c_1(x1))) -> 2(0'(2(x1))) [1]
   0'(2(c_0(x1))) -> 1'(0'(1'(x1))) [1]
   1'(2(c_0(x1))) -> 2(0'(1'(x1))) [1]
   L(2(c_0(x1))) -> L(1'(0'(1'(x1)))) [1]
   L(2(c_1(x1))) -> L(1'(0'(2(x1)))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(R(x_1)) -> R(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_L(x_1)) -> L(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_L(x_1) -> L(encArg(x_1)) [0]
   encode_R(x_1) -> R(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_1(v0) -> null_encode_1 [0]
   encode_2(v0) -> null_encode_2 [0]
   encode_0(v0) -> null_encode_0 [0]
   encode_L(v0) -> null_encode_L [0]
   encode_R(v0) -> null_encode_R [0]
   0'(v0) -> null_0' [0]
   1'(v0) -> null_1' [0]
   L(v0) -> null_L [0]

The TRS has the following type information:
1' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
0' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
c_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
c_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
encArg :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
cons_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
cons_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
cons_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
encode_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
encode_2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
encode_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
encode_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
encode_R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L -> R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_encArg :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_encode_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_encode_2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_encode_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_encode_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_encode_R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_0' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_1' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L
null_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:null_encArg:null_encode_1:null_encode_2:null_encode_0:null_encode_L:null_encode_R:null_0':null_1':null_L

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

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

   null_encArg => 0
   null_encode_1 => 0
   null_encode_2 => 0
   null_encode_0 => 0
   null_encode_L => 0
   null_encode_R => 0
   null_0' => 0
   null_1' => 0
   null_L => 0

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

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

   0'(z) -{ 1 }-> 1'(0'(1'(x1))) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(1'(1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(1 + x1)) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1'(x1)) :|: z = 1 + (1 + x1), x1 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1'(1 + x1)) :|: z = 1 + (1 + x1), x1 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1 + x1) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 1 }-> L(1'(0'(1'(x1)))) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 1 }-> L(1'(0'(1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> L(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_0(z) -{ 0 }-> 0'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1
   encode_L(z) -{ 0 }-> L(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_L(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_R(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_R(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1

Only complete derivations are relevant for the runtime complexity.

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

(31) 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:

   L_1
   encArg_1
   encode_1_1
   encode_2_1
   encode_0_1
   encode_L_1
   encode_R_1
   0'_1
   1'_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_L(v0) -> const [0]
   encode_R(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   L(v0) -> const [0]

And the following fresh constants:    const

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

(32)
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:

   1'(2(R(x1))) -> 2(0'(1'(R(x1)))) [1]
   0'(2(R(x1))) -> 1'(0'(1'(R(x1)))) [1]
   0'(2(c_1(x1))) -> 1'(0'(2(x1))) [1]
   1'(2(c_1(x1))) -> 2(0'(2(x1))) [1]
   0'(2(c_0(x1))) -> 1'(0'(1'(x1))) [1]
   1'(2(c_0(x1))) -> 2(0'(1'(x1))) [1]
   L(2(c_0(x1))) -> L(1'(0'(1'(x1)))) [1]
   L(2(c_1(x1))) -> L(1'(0'(2(x1)))) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(R(x_1)) -> R(encArg(x_1)) [0]
   encArg(cons_1(x_1)) -> 1'(encArg(x_1)) [0]
   encArg(cons_0(x_1)) -> 0'(encArg(x_1)) [0]
   encArg(cons_L(x_1)) -> L(encArg(x_1)) [0]
   encode_1(x_1) -> 1'(encArg(x_1)) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_0(x_1) -> 0'(encArg(x_1)) [0]
   encode_L(x_1) -> L(encArg(x_1)) [0]
   encode_R(x_1) -> R(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   encArg(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_L(v0) -> const [0]
   encode_R(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   L(v0) -> const [0]

The TRS has the following type information:
1' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
0' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
c_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
c_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encArg :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
cons_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
cons_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
cons_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
const :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const

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

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

(34)
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:

   1'(2(R(x1))) -> 2(0'(c_1(R(x1)))) [1]
   1'(2(R(x1))) -> 2(0'(const)) [1]
   0'(2(R(x1))) -> 1'(0'(c_1(R(x1)))) [1]
   0'(2(R(x1))) -> 1'(0'(const)) [1]
   0'(2(c_1(R(x1')))) -> 1'(1'(0'(1'(R(x1'))))) [2]
   0'(2(c_1(c_1(x1'')))) -> 1'(1'(0'(2(x1'')))) [2]
   0'(2(c_1(c_0(x11)))) -> 1'(1'(0'(1'(x11)))) [2]
   0'(2(c_1(x1))) -> 1'(c_0(2(x1))) [1]
   0'(2(c_1(x1))) -> 1'(const) [1]
   1'(2(c_1(x1))) -> 2(0'(2(x1))) [1]
   0'(2(c_0(2(R(x12))))) -> 1'(0'(2(0'(1'(R(x12)))))) [2]
   0'(2(c_0(2(c_1(x13))))) -> 1'(0'(2(0'(2(x13))))) [2]
   0'(2(c_0(2(c_0(x14))))) -> 1'(0'(2(0'(1'(x14))))) [2]
   0'(2(c_0(x1))) -> 1'(0'(c_1(x1))) [1]
   0'(2(c_0(x1))) -> 1'(0'(const)) [1]
   1'(2(c_0(2(R(x15))))) -> 2(0'(2(0'(1'(R(x15)))))) [2]
   1'(2(c_0(2(c_1(x16))))) -> 2(0'(2(0'(2(x16))))) [2]
   1'(2(c_0(2(c_0(x17))))) -> 2(0'(2(0'(1'(x17))))) [2]
   1'(2(c_0(x1))) -> 2(0'(c_1(x1))) [1]
   1'(2(c_0(x1))) -> 2(0'(const)) [1]
   L(2(c_0(2(R(x18))))) -> L(1'(0'(2(0'(1'(R(x18))))))) [2]
   L(2(c_0(2(c_1(x19))))) -> L(1'(0'(2(0'(2(x19)))))) [2]
   L(2(c_0(2(c_0(x110))))) -> L(1'(0'(2(0'(1'(x110)))))) [2]
   L(2(c_0(x1))) -> L(1'(0'(c_1(x1)))) [1]
   L(2(c_0(x1))) -> L(1'(0'(const))) [1]
   L(2(c_1(R(x111)))) -> L(1'(1'(0'(1'(R(x111)))))) [2]
   L(2(c_1(c_1(x112)))) -> L(1'(1'(0'(2(x112))))) [2]
   L(2(c_1(c_0(x113)))) -> L(1'(1'(0'(1'(x113))))) [2]
   L(2(c_1(x1))) -> L(1'(c_0(2(x1)))) [1]
   L(2(c_1(x1))) -> L(1'(const)) [1]
   encArg(2(x_1)) -> 2(encArg(x_1)) [0]
   encArg(R(x_1)) -> R(encArg(x_1)) [0]
   encArg(cons_1(2(x_1'))) -> 1'(2(encArg(x_1'))) [0]
   encArg(cons_1(R(x_1''))) -> 1'(R(encArg(x_1''))) [0]
   encArg(cons_1(cons_1(x_11))) -> 1'(1'(encArg(x_11))) [0]
   encArg(cons_1(cons_0(x_12))) -> 1'(0'(encArg(x_12))) [0]
   encArg(cons_1(cons_L(x_13))) -> 1'(L(encArg(x_13))) [0]
   encArg(cons_1(x_1)) -> 1'(const) [0]
   encArg(cons_0(2(x_14))) -> 0'(2(encArg(x_14))) [0]
   encArg(cons_0(R(x_15))) -> 0'(R(encArg(x_15))) [0]
   encArg(cons_0(cons_1(x_16))) -> 0'(1'(encArg(x_16))) [0]
   encArg(cons_0(cons_0(x_17))) -> 0'(0'(encArg(x_17))) [0]
   encArg(cons_0(cons_L(x_18))) -> 0'(L(encArg(x_18))) [0]
   encArg(cons_0(x_1)) -> 0'(const) [0]
   encArg(cons_L(2(x_19))) -> L(2(encArg(x_19))) [0]
   encArg(cons_L(R(x_110))) -> L(R(encArg(x_110))) [0]
   encArg(cons_L(cons_1(x_111))) -> L(1'(encArg(x_111))) [0]
   encArg(cons_L(cons_0(x_112))) -> L(0'(encArg(x_112))) [0]
   encArg(cons_L(cons_L(x_113))) -> L(L(encArg(x_113))) [0]
   encArg(cons_L(x_1)) -> L(const) [0]
   encode_1(2(x_114)) -> 1'(2(encArg(x_114))) [0]
   encode_1(R(x_115)) -> 1'(R(encArg(x_115))) [0]
   encode_1(cons_1(x_116)) -> 1'(1'(encArg(x_116))) [0]
   encode_1(cons_0(x_117)) -> 1'(0'(encArg(x_117))) [0]
   encode_1(cons_L(x_118)) -> 1'(L(encArg(x_118))) [0]
   encode_1(x_1) -> 1'(const) [0]
   encode_2(x_1) -> 2(encArg(x_1)) [0]
   encode_0(2(x_119)) -> 0'(2(encArg(x_119))) [0]
   encode_0(R(x_120)) -> 0'(R(encArg(x_120))) [0]
   encode_0(cons_1(x_121)) -> 0'(1'(encArg(x_121))) [0]
   encode_0(cons_0(x_122)) -> 0'(0'(encArg(x_122))) [0]
   encode_0(cons_L(x_123)) -> 0'(L(encArg(x_123))) [0]
   encode_0(x_1) -> 0'(const) [0]
   encode_L(2(x_124)) -> L(2(encArg(x_124))) [0]
   encode_L(R(x_125)) -> L(R(encArg(x_125))) [0]
   encode_L(cons_1(x_126)) -> L(1'(encArg(x_126))) [0]
   encode_L(cons_0(x_127)) -> L(0'(encArg(x_127))) [0]
   encode_L(cons_L(x_128)) -> L(L(encArg(x_128))) [0]
   encode_L(x_1) -> L(const) [0]
   encode_R(x_1) -> R(encArg(x_1)) [0]
   0'(x0) -> c_0(x0) [0]
   1'(x0) -> c_1(x0) [0]
   encArg(v0) -> const [0]
   encode_1(v0) -> const [0]
   encode_2(v0) -> const [0]
   encode_0(v0) -> const [0]
   encode_L(v0) -> const [0]
   encode_R(v0) -> const [0]
   0'(v0) -> const [0]
   1'(v0) -> const [0]
   L(v0) -> const [0]

The TRS has the following type information:
1' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
0' :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
c_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
c_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encArg :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
cons_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
cons_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
cons_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_1 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_2 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_0 :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_L :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
encode_R :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const -> R:2:c_1:c_0:cons_1:cons_0:cons_L:const
const :: R:2:c_1:c_0:cons_1:cons_0:cons_L:const

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

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

   const => 0

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

(36)
Obligation:
Complexity RNTS consisting of the following rules:

   0'(z) -{ 2 }-> 1'(1'(0'(1'(x11)))) :|: z = 1 + (1 + (1 + x11)), x11 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(1'(1 + x1')))) :|: x1' >= 0, z = 1 + (1 + (1 + x1'))
   0'(z) -{ 2 }-> 1'(1'(0'(1 + x1''))) :|: x1'' >= 0, z = 1 + (1 + (1 + x1''))
   0'(z) -{ 1 }-> 1'(0'(0)) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 1 }-> 1'(0'(1 + x1)) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 2 }-> 1'(0'(1 + 0'(1'(x14)))) :|: x14 >= 0, z = 1 + (1 + (1 + (1 + x14)))
   0'(z) -{ 2 }-> 1'(0'(1 + 0'(1'(1 + x12)))) :|: x12 >= 0, z = 1 + (1 + (1 + (1 + x12)))
   0'(z) -{ 2 }-> 1'(0'(1 + 0'(1 + x13))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + x13)))
   0'(z) -{ 1 }-> 1'(0'(1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 1 }-> 1'(0) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 1 }-> 1'(1 + (1 + x1)) :|: z = 1 + (1 + x1), x1 >= 0
   0'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   0'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   1'(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   1'(z) -{ 1 }-> 1 + 0'(0) :|: z = 1 + (1 + x1), x1 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1 + x1) :|: z = 1 + (1 + x1), x1 >= 0
   1'(z) -{ 2 }-> 1 + 0'(1 + 0'(1'(x17))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + x17)))
   1'(z) -{ 2 }-> 1 + 0'(1 + 0'(1'(1 + x15))) :|: z = 1 + (1 + (1 + (1 + x15))), x15 >= 0
   1'(z) -{ 2 }-> 1 + 0'(1 + 0'(1 + x16)) :|: z = 1 + (1 + (1 + (1 + x16))), x16 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1 + (1 + x1)) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 2 }-> L(1'(1'(0'(1'(x113))))) :|: x113 >= 0, z = 1 + (1 + (1 + x113))
   L(z) -{ 2 }-> L(1'(1'(0'(1'(1 + x111))))) :|: z = 1 + (1 + (1 + x111)), x111 >= 0
   L(z) -{ 2 }-> L(1'(1'(0'(1 + x112)))) :|: x112 >= 0, z = 1 + (1 + (1 + x112))
   L(z) -{ 1 }-> L(1'(0'(0))) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 1 }-> L(1'(0'(1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 2 }-> L(1'(0'(1 + 0'(1'(x110))))) :|: z = 1 + (1 + (1 + (1 + x110))), x110 >= 0
   L(z) -{ 2 }-> L(1'(0'(1 + 0'(1'(1 + x18))))) :|: z = 1 + (1 + (1 + (1 + x18))), x18 >= 0
   L(z) -{ 2 }-> L(1'(0'(1 + 0'(1 + x19)))) :|: z = 1 + (1 + (1 + (1 + x19))), x19 >= 0
   L(z) -{ 1 }-> L(1'(0)) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 1 }-> L(1'(1 + (1 + x1))) :|: z = 1 + (1 + x1), x1 >= 0
   L(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> L(L(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> L(1'(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> L(0'(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> L(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> L(1 + encArg(x_110)) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> L(1 + encArg(x_19)) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> 1'(L(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> 1'(0'(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 1'(1 + encArg(x_1')) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> 1'(1 + encArg(x_1'')) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> 0'(L(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> 0'(0'(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> 0'(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0'(1 + encArg(x_14)) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> 0'(1 + encArg(x_15)) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) :|: z = 1 + x_1, x_1 >= 0
   encode_0(z) -{ 0 }-> 0'(L(encArg(x_123))) :|: x_123 >= 0, z = 1 + x_123
   encode_0(z) -{ 0 }-> 0'(1'(encArg(x_121))) :|: z = 1 + x_121, x_121 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(x_122))) :|: x_122 >= 0, z = 1 + x_122
   encode_0(z) -{ 0 }-> 0'(0) :|: x_1 >= 0, z = x_1
   encode_0(z) -{ 0 }-> 0'(1 + encArg(x_119)) :|: z = 1 + x_119, x_119 >= 0
   encode_0(z) -{ 0 }-> 0'(1 + encArg(x_120)) :|: x_120 >= 0, z = 1 + x_120
   encode_0(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_1(z) -{ 0 }-> 1'(L(encArg(x_118))) :|: z = 1 + x_118, x_118 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(x_116))) :|: x_116 >= 0, z = 1 + x_116
   encode_1(z) -{ 0 }-> 1'(0'(encArg(x_117))) :|: x_117 >= 0, z = 1 + x_117
   encode_1(z) -{ 0 }-> 1'(0) :|: x_1 >= 0, z = x_1
   encode_1(z) -{ 0 }-> 1'(1 + encArg(x_114)) :|: x_114 >= 0, z = 1 + x_114
   encode_1(z) -{ 0 }-> 1'(1 + encArg(x_115)) :|: x_115 >= 0, z = 1 + x_115
   encode_1(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_2(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1
   encode_L(z) -{ 0 }-> L(L(encArg(x_128))) :|: x_128 >= 0, z = 1 + x_128
   encode_L(z) -{ 0 }-> L(1'(encArg(x_126))) :|: z = 1 + x_126, x_126 >= 0
   encode_L(z) -{ 0 }-> L(0'(encArg(x_127))) :|: x_127 >= 0, z = 1 + x_127
   encode_L(z) -{ 0 }-> L(0) :|: x_1 >= 0, z = x_1
   encode_L(z) -{ 0 }-> L(1 + encArg(x_124)) :|: x_124 >= 0, z = 1 + x_124
   encode_L(z) -{ 0 }-> L(1 + encArg(x_125)) :|: z = 1 + x_125, x_125 >= 0
   encode_L(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_R(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_R(z) -{ 0 }-> 1 + encArg(x_1) :|: x_1 >= 0, z = x_1


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

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

(38)
Obligation:
Complexity RNTS consisting of the following rules:

   0'(z) -{ 2 }-> 1'(1'(0'(1'(z - 3)))) :|: z - 3 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(1'(1 + (z - 3))))) :|: z - 3 >= 0
   0'(z) -{ 2 }-> 1'(1'(0'(1 + (z - 3)))) :|: z - 3 >= 0
   0'(z) -{ 1 }-> 1'(0'(0)) :|: z - 2 >= 0
   0'(z) -{ 2 }-> 1'(0'(1 + 0'(1'(z - 4)))) :|: z - 4 >= 0
   0'(z) -{ 2 }-> 1'(0'(1 + 0'(1'(1 + (z - 4))))) :|: z - 4 >= 0
   0'(z) -{ 2 }-> 1'(0'(1 + 0'(1 + (z - 4)))) :|: z - 4 >= 0
   0'(z) -{ 1 }-> 1'(0'(1 + (z - 2))) :|: z - 2 >= 0
   0'(z) -{ 1 }-> 1'(0'(1 + (1 + (z - 2)))) :|: z - 2 >= 0
   0'(z) -{ 1 }-> 1'(0) :|: z - 2 >= 0
   0'(z) -{ 1 }-> 1'(1 + (1 + (z - 2))) :|: z - 2 >= 0
   0'(z) -{ 0 }-> 0 :|: z >= 0
   0'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 0 }-> 0 :|: z >= 0
   1'(z) -{ 0 }-> 1 + z :|: z >= 0
   1'(z) -{ 1 }-> 1 + 0'(0) :|: z - 2 >= 0
   1'(z) -{ 2 }-> 1 + 0'(1 + 0'(1'(z - 4))) :|: z - 4 >= 0
   1'(z) -{ 2 }-> 1 + 0'(1 + 0'(1'(1 + (z - 4)))) :|: z - 4 >= 0
   1'(z) -{ 2 }-> 1 + 0'(1 + 0'(1 + (z - 4))) :|: z - 4 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1 + (z - 2)) :|: z - 2 >= 0
   1'(z) -{ 1 }-> 1 + 0'(1 + (1 + (z - 2))) :|: z - 2 >= 0
   L(z) -{ 2 }-> L(1'(1'(0'(1'(z - 3))))) :|: z - 3 >= 0
   L(z) -{ 2 }-> L(1'(1'(0'(1'(1 + (z - 3)))))) :|: z - 3 >= 0
   L(z) -{ 2 }-> L(1'(1'(0'(1 + (z - 3))))) :|: z - 3 >= 0
   L(z) -{ 1 }-> L(1'(0'(0))) :|: z - 2 >= 0
   L(z) -{ 2 }-> L(1'(0'(1 + 0'(1'(z - 4))))) :|: z - 4 >= 0
   L(z) -{ 2 }-> L(1'(0'(1 + 0'(1'(1 + (z - 4)))))) :|: z - 4 >= 0
   L(z) -{ 2 }-> L(1'(0'(1 + 0'(1 + (z - 4))))) :|: z - 4 >= 0
   L(z) -{ 1 }-> L(1'(0'(1 + (z - 2)))) :|: z - 2 >= 0
   L(z) -{ 1 }-> L(1'(0)) :|: z - 2 >= 0
   L(z) -{ 1 }-> L(1'(1 + (1 + (z - 2)))) :|: z - 2 >= 0
   L(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> L(L(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> L(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> L(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> L(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> L(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(L(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 1'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 1'(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(L(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(1'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0'(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0'(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0'(1 + encArg(z - 2)) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> 1 + encArg(z - 1) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(L(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0'(0) :|: z >= 0
   encode_0(z) -{ 0 }-> 0'(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_0(z) -{ 0 }-> 0 :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(L(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 1'(0) :|: z >= 0
   encode_1(z) -{ 0 }-> 1'(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_1(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 0 :|: z >= 0
   encode_2(z) -{ 0 }-> 1 + encArg(z) :|: z >= 0
   encode_L(z) -{ 0 }-> L(L(encArg(z - 1))) :|: z - 1 >= 0
   encode_L(z) -{ 0 }-> L(1'(encArg(z - 1))) :|: z - 1 >= 0
   encode_L(z) -{ 0 }-> L(0'(encArg(z - 1))) :|: z - 1 >= 0
   encode_L(z) -{ 0 }-> L(0) :|: z >= 0
   encode_L(z) -{ 0 }-> L(1 + encArg(z - 1)) :|: z - 1 >= 0
   encode_L(z) -{ 0 }-> 0 :|: z >= 0
   encode_R(z) -{ 0 }-> 0 :|: z >= 0
   encode_R(z) -{ 0 }-> 1 + encArg(z) :|: z >= 0


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

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_L(z0) -> L(encArg(z0))
   encode_R(z0) -> R(encArg(z0))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_2(z0) -> c6(ENCARG(z0))
   ENCODE_0(z0) -> c7(0'(encArg(z0)), ENCARG(z0))
   ENCODE_L(z0) -> c8(L'(encArg(z0)), ENCARG(z0))
   ENCODE_R(z0) -> c9(ENCARG(z0))
   0'(z0) -> c10
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))), 1'(R(z0)))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(z0) -> c14
   1'(2(R(z0))) -> c15(0'(1(R(z0))), 1'(R(z0)))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
S tuples:
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))), 1'(R(z0)))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(R(z0))) -> c15(0'(1(R(z0))), 1'(R(z0)))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, L_1, encArg_1, encode_1_1, encode_2_1, encode_0_1, encode_L_1, encode_R_1

Defined Pair Symbols:   ENCARG_1, ENCODE_1_1, ENCODE_2_1, ENCODE_0_1, ENCODE_L_1, ENCODE_R_1, 0'_1, 1'_1, L'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_2, c6_1, c7_2, c8_2, c9_1, c10, c11_3, c12_2, c13_3, c14, c15_2, c16_1, c17_2, c18_4, c19_3


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

(41) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_2(z0) -> c6(ENCARG(z0))
   ENCODE_R(z0) -> c9(ENCARG(z0))
Removed 2 trailing nodes:
   0'(z0) -> c10
   1'(z0) -> c14

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_L(z0) -> L(encArg(z0))
   encode_R(z0) -> R(encArg(z0))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c7(0'(encArg(z0)), ENCARG(z0))
   ENCODE_L(z0) -> c8(L'(encArg(z0)), ENCARG(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))), 1'(R(z0)))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(R(z0))) -> c15(0'(1(R(z0))), 1'(R(z0)))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
S tuples:
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))), 1'(R(z0)))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(R(z0))) -> c15(0'(1(R(z0))), 1'(R(z0)))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, L_1, encArg_1, encode_1_1, encode_2_1, encode_0_1, encode_L_1, encode_R_1

Defined Pair Symbols:   ENCARG_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, 0'_1, 1'_1, L'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_2, c7_2, c8_2, c11_3, c12_2, c13_3, c15_2, c16_1, c17_2, c18_4, c19_3


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

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_L(z0) -> L(encArg(z0))
   encode_R(z0) -> R(encArg(z0))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   ENCODE_1(z0) -> c5(1'(encArg(z0)), ENCARG(z0))
   ENCODE_0(z0) -> c7(0'(encArg(z0)), ENCARG(z0))
   ENCODE_L(z0) -> c8(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, L_1, encArg_1, encode_1_1, encode_2_1, encode_0_1, encode_L_1, encode_R_1

Defined Pair Symbols:   ENCARG_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, 0'_1, 1'_1, L'_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c5_2, c7_2, c8_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1


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

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_L(z0) -> L(encArg(z0))
   encode_R(z0) -> R(encArg(z0))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCODE_L(z0) -> c6(ENCARG(z0))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, L_1, encArg_1, encode_1_1, encode_2_1, encode_0_1, encode_L_1, encode_R_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1


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

(47) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 3 leading nodes:
   ENCODE_1(z0) -> c6(ENCARG(z0))
   ENCODE_0(z0) -> c6(ENCARG(z0))
   ENCODE_L(z0) -> c6(ENCARG(z0))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_L(z0) -> L(encArg(z0))
   encode_R(z0) -> R(encArg(z0))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:none
Defined Rule Symbols:   1_1, 0_1, L_1, encArg_1, encode_1_1, encode_2_1, encode_0_1, encode_L_1, encode_R_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1


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

(49) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_1(z0) -> 1(encArg(z0))
   encode_2(z0) -> 2(encArg(z0))
   encode_0(z0) -> 0(encArg(z0))
   encode_L(z0) -> L(encArg(z0))
   encode_R(z0) -> R(encArg(z0))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1


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

(51) CdtRuleRemovalProof (UPPER BOUND(ADD(n^2)))
Found a reduction pair which oriented the following tuples strictly. Hence they can be removed from S.
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
We considered the (Usable) Rules:
   0(z0) -> c_0(z0)
   encArg(cons_L(z0)) -> L(encArg(z0))
   0(2(R(z0))) -> 1(0(1(R(z0))))
   1(2(R(z0))) -> 2(0(1(R(z0))))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(c_1(z0))) -> 2(0(2(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   encArg(2(z0)) -> 2(encArg(z0))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   encArg(cons_0(z0)) -> 0(encArg(z0))
And the Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
The order we found is given by the following interpretation:

Polynomial interpretation :

   POL(0(x_1)) = 0
   POL(0'(x_1)) = 0
   POL(1(x_1)) = x_1
   POL(1'(x_1)) = 0
   POL(2(x_1)) = [2] + x_1
   POL(ENCARG(x_1)) = x_1^2
   POL(ENCODE_0(x_1)) = [1] + [2]x_1 + [2]x_1^2
   POL(ENCODE_1(x_1)) = [2] + x_1 + x_1^2
   POL(ENCODE_L(x_1)) = [2] + [2]x_1 + [2]x_1^2
   POL(L(x_1)) = 0
   POL(L'(x_1)) = [2]x_1
   POL(R(x_1)) = x_1
   POL(c(x_1)) = x_1
   POL(c1(x_1)) = x_1
   POL(c11(x_1, x_2)) = x_1 + x_2
   POL(c12(x_1, x_2)) = x_1 + x_2
   POL(c13(x_1, x_2, x_3)) = x_1 + x_2 + x_3
   POL(c15(x_1)) = x_1
   POL(c16(x_1)) = x_1
   POL(c17(x_1, x_2)) = x_1 + x_2
   POL(c18(x_1, x_2, x_3, x_4)) = x_1 + x_2 + x_3 + x_4
   POL(c19(x_1, x_2, x_3)) = x_1 + x_2 + x_3
   POL(c2(x_1, x_2)) = x_1 + x_2
   POL(c3(x_1, x_2)) = x_1 + x_2
   POL(c4(x_1, x_2)) = x_1 + x_2
   POL(c6(x_1)) = x_1
   POL(c_0(x_1)) = 0
   POL(c_1(x_1)) = 0
   POL(cons_0(x_1)) = x_1
   POL(cons_1(x_1)) = x_1
   POL(cons_L(x_1)) = [2] + x_1
   POL(encArg(x_1)) = x_1

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c2_2, c3_2, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(z0)) -> c2(1'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(1'(R(encArg(z0))), ENCARG(R(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(1'(R(encArg(z0))), ENCARG(R(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c3_2, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2


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

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c3_2, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(z0)) -> c3(0'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(R(z0))) -> c3(0'(R(encArg(z0))), ENCARG(R(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(R(z0))) -> c3(0'(R(encArg(z0))), ENCARG(R(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2


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

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c4_2, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_L(z0)) -> c4(L'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(R(z0))) -> c4(L'(R(encArg(z0))), ENCARG(R(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(R(z0))) -> c4(L'(R(encArg(z0))), ENCARG(R(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2


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

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
S tuples:
   0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0)))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c12_2, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_1(z0))) -> c12(1'(0(2(z0))), 0'(2(z0))) by 
   0'(2(c_1(x0))) -> c12(1'(c_0(2(x0))), 0'(2(x0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(1'(c_0(2(x0))), 0'(2(x0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
S tuples:
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(x0))) -> c12(1'(c_0(2(x0))), 0'(2(x0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2


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

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
S tuples:
   0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 0'_1, 1'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c13_3, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_0(z0))) -> c13(1'(0(1(z0))), 0'(1(z0)), 1'(z0)) by 
   0'(2(c_0(x0))) -> c13(1'(c_0(1(x0))), 0'(1(x0)), 1'(x0))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(1'(c_0(1(x0))), 0'(1(x0)), 1'(x0))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(1'(c_0(1(x0))), 0'(1(x0)), 1'(x0))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3


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

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c17_2, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2


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

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 1'(2(c_0(z0))) -> c17(0'(1(z0)), 1'(z0)) by 
   1'(2(c_0(z0))) -> c17(0'(c_1(z0)), 1'(z0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(0'(c_1(z0)), 1'(z0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(0'(c_1(z0)), 1'(z0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2


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

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c18_4, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) by 
   L'(2(c_0(x0))) -> c18(L'(c_1(0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(c_1(0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4


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

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))), 0'(1(x0)), 1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c18_3


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

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, L'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c19_3, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1


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

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0))) by 
   L'(2(c_1(x0))) -> c19(L'(c_1(0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(c_1(0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3


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

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c19(1'(0(2(x0))), 0'(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c19_2


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

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0))))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c11_2, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(R(z0))) -> c11(1'(0(1(R(z0)))), 0'(1(R(z0)))) by 
   0'(2(R(x0))) -> c11(1'(c_0(1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(c_0(1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(c_0(1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, 0'_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2


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

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   1'(2(R(z0))) -> c15(0'(1(R(z0))))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, 0'_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c15_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1


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

(93) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 1'(2(R(z0))) -> c15(0'(1(R(z0)))) by 
   1'(2(R(x0))) -> c15(0'(c_1(R(x0))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15(0'(c_1(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15(0'(c_1(R(x0))))
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, 0'_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15_1


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

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCODE_1(z0) -> c6(1'(encArg(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1, 0'_1, L'_1

Compound Symbols:   c_1, c1_1, c16_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15


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

(97) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_1(z0) -> c6(1'(encArg(z0))) by 
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(R(z0)) -> c6(1'(R(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))

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

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(R(z0)) -> c6(1'(R(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:
   L'(2(c_0(z0))) -> c18(L'(1(0(1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_1(z0))) -> c19(L'(1(0(2(z0)))), 1'(0(2(z0))), 0'(2(z0)))
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_0_1, ENCODE_L_1, 0'_1, L'_1, ENCODE_1_1

Compound Symbols:   c_1, c1_1, c16_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15


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

(99) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_1(R(z0)) -> c6(1'(R(encArg(z0))))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCODE_0(z0) -> c6(0'(encArg(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_0_1, ENCODE_L_1, 0'_1, L'_1, ENCODE_1_1

Compound Symbols:   c_1, c1_1, c16_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15


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

(101) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_0(z0) -> c6(0'(encArg(z0))) by 
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(R(z0)) -> c6(0'(R(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(R(z0)) -> c6(0'(R(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_L_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1

Compound Symbols:   c_1, c1_1, c16_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15


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

(103) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_0(R(z0)) -> c6(0'(R(encArg(z0))))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCODE_L(z0) -> c6(L'(encArg(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, ENCODE_L_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1

Compound Symbols:   c_1, c1_1, c16_1, c6_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15


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

(105) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_L(z0) -> c6(L'(encArg(z0))) by 
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(R(z0)) -> c6(L'(R(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(R(z0)) -> c6(L'(R(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

(107) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_L(R(z0)) -> c6(L'(R(encArg(z0))))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

(109) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(2(z0))) -> c2(1'(2(encArg(z0))), ENCARG(2(z0))) by 
   ENCARG(cons_1(2(2(z0)))) -> c2(1'(2(2(encArg(z0)))), ENCARG(2(2(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(2(z0)))) -> c2(1'(2(2(encArg(z0)))), ENCARG(2(2(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

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

(112)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

(113) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(cons_1(z0))) -> c2(1'(1(encArg(z0))), ENCARG(cons_1(z0))) by 
   ENCARG(cons_1(cons_1(x0))) -> c2(1'(c_1(encArg(x0))), ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))

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

(114)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(1'(c_1(encArg(x0))), ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

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

(116)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

(117) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(cons_0(z0))) -> c2(1'(0(encArg(z0))), ENCARG(cons_0(z0))) by 
   ENCARG(cons_1(cons_0(x0))) -> c2(1'(c_0(encArg(x0))), ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))

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

(118)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(x0))) -> c2(1'(c_0(encArg(x0))), ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

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

(120)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_2, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1


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

(121) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_1(cons_L(z0))) -> c2(1'(L(encArg(z0))), ENCARG(cons_L(z0))) by 
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(1'(L(R(encArg(z0)))), ENCARG(cons_L(R(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))

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

(122)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(1'(L(R(encArg(z0)))), ENCARG(cons_L(R(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

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

(124)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

(125) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(2(z0))) -> c3(0'(2(encArg(z0))), ENCARG(2(z0))) by 
   ENCARG(cons_0(2(2(z0)))) -> c3(0'(2(2(encArg(z0)))), ENCARG(2(2(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))

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

(126)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(2(z0)))) -> c3(0'(2(2(encArg(z0)))), ENCARG(2(2(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

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

(128)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

(129) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(cons_1(z0))) -> c3(0'(1(encArg(z0))), ENCARG(cons_1(z0))) by 
   ENCARG(cons_0(cons_1(x0))) -> c3(0'(c_1(encArg(x0))), ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))

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

(130)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(0'(c_1(encArg(x0))), ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

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

(132)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

(133) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(cons_0(z0))) -> c3(0'(0(encArg(z0))), ENCARG(cons_0(z0))) by 
   ENCARG(cons_0(cons_0(x0))) -> c3(0'(c_0(encArg(x0))), ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))

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

(134)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(x0))) -> c3(0'(c_0(encArg(x0))), ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

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

(136)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_2, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2


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

(137) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_0(cons_L(z0))) -> c3(0'(L(encArg(z0))), ENCARG(cons_L(z0))) by 
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(0'(L(R(encArg(z0)))), ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))

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

(138)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(0'(L(R(encArg(z0)))), ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

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

(140)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

(141) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_L(2(z0))) -> c4(L'(2(encArg(z0))), ENCARG(2(z0))) by 
   ENCARG(cons_L(2(2(z0)))) -> c4(L'(2(2(encArg(z0)))), ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(L'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))

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

(142)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(2(z0)))) -> c4(L'(2(2(encArg(z0)))), ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(L'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

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

(144)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

(145) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_L(cons_1(z0))) -> c4(L'(1(encArg(z0))), ENCARG(cons_1(z0))) by 
   ENCARG(cons_L(cons_1(x0))) -> c4(L'(c_1(encArg(x0))), ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))

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

(146)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(L'(c_1(encArg(x0))), ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

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

(148)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

(149) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_L(cons_0(z0))) -> c4(L'(0(encArg(z0))), ENCARG(cons_0(z0))) by 
   ENCARG(cons_L(cons_0(x0))) -> c4(L'(c_0(encArg(x0))), ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))

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

(150)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(x0))) -> c4(L'(c_0(encArg(x0))), ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

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

(152)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_2, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2


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

(153) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_L(cons_L(z0))) -> c4(L'(L(encArg(z0))), ENCARG(cons_L(z0))) by 
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(L'(L(R(encArg(z0)))), ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))

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

(154)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(L'(L(R(encArg(z0)))), ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2


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

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

(156)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0))))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2


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

(157) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_1(R(z0)))) -> c12(1'(1(0(1(R(z0))))), 0'(2(R(z0)))) by 
   0'(2(c_1(R(x0)))) -> c12(1'(c_1(0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))

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

(158)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(c_1(0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(c_1(0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2


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

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

(160)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2


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

(161) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_1(c_1(z0)))) -> c12(1'(1(0(2(z0)))), 0'(2(c_1(z0)))) by 
   0'(2(c_1(c_1(x0)))) -> c12(1'(c_1(0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))

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

(162)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(c_1(0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(c_1(0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2


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

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

(164)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_2, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2


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

(165) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(1(z0)))), 0'(2(c_0(z0)))) by 
   0'(2(c_1(c_0(x0)))) -> c12(1'(c_1(0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))

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

(166)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(c_1(0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(c_1(0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

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

(168)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

(169) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_0(z0))) -> c13(1'(0(c_1(z0))), 0'(1(z0)), 1'(z0)) by 
   0'(2(c_0(x0))) -> c13(1'(c_0(c_1(x0))), 0'(1(x0)), 1'(x0))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))

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

(170)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(1'(c_0(c_1(x0))), 0'(1(x0)), 1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(1'(c_0(c_1(x0))), 0'(1(x0)), 1'(x0))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

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

(172)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

(173) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_0(2(R(z0))))) -> c13(1'(0(2(0(1(R(z0)))))), 0'(1(2(R(z0)))), 1'(2(R(z0)))) by 
   0'(2(c_0(2(R(x0))))) -> c13(1'(c_0(2(0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))

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

(174)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(c_0(2(0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(c_0(2(0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

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

(176)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

(177) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_0(2(c_1(z0))))) -> c13(1'(0(2(0(2(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0)))) by 
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(c_0(2(0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))

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

(178)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(c_0(2(0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(c_0(2(0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

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

(180)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_3, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2


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

(181) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0)))) by 
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(c_0(2(0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))

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

(182)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(c_0(2(0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(c_0(2(0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1


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

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

(184)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1


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

(185) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0)) by 
   0'(2(c_0(z0))) -> c13(0'(c_1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))

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

(186)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(z0))) -> c13(0'(c_1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(z0))) -> c13(0'(c_1(z0)), 1'(z0))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1


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

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

(188)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1


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

(189) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 1'(2(c_0(2(R(z0))))) -> c17(0'(2(0(1(R(z0))))), 1'(2(R(z0)))) by 
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))

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

(190)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1


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

(191) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 1'(2(c_0(2(c_1(z0))))) -> c17(0'(2(0(2(z0)))), 1'(2(c_1(z0)))) by 
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))

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

(192)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1


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

(193) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace 1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(1(z0)))), 1'(2(c_0(z0)))) by 
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))

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

(194)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2


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

(195) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(x0))) -> c18(L'(1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0)) by 
   L'(2(c_0(x0))) -> c18(L'(c_1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))

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

(196)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(x0))) -> c18(L'(c_1(c_0(1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1


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

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

(198)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))), 0'(1(x0)), 1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c18_3


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

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

(200)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1


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

(201) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(z0))) -> c18(L'(1(0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0)) by 
   L'(2(c_0(x0))) -> c18(L'(c_1(0(c_1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(x0))) -> c18(L'(1(c_0(c_1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))), 0'(1(x0)), 1'(x0))

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

(202)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c18(L'(c_1(0(c_1(x0)))), 1'(0(1(x0))), 0'(1(x0)), 1'(x0))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))), 0'(1(x0)), 1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c18_3


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

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

(204)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))), 0'(1(x0)), 1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c18_3


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

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

(206)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1


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

(207) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(2(R(z0))))) -> c18(L'(1(0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0)))) by 
   L'(2(c_0(2(R(x0))))) -> c18(L'(c_1(0(2(0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(c_0(2(0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))

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

(208)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(c_1(0(2(0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1, c18_3


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

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

(210)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1, c18_3


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

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

(212)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1, c10_1


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

(213) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0)))) by 
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(c_1(0(2(0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(c_0(2(0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c18(1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))

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

(214)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(c_1(0(2(0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c18(1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1, c10_1, c18_3


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

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

(216)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c18(1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1, c10_1, c18_3


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

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

(218)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c18_4, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_1, c8_1, c9_1, c10_1, c14_1


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

(219) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0)))) by 
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(c_1(0(2(0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(c_0(2(0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c18(1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))))

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

(220)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(c_1(0(2(0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c18(1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c18_2


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

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

(222)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c18(1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c18(1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c18_2, c18_3


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

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

(224)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1


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

(225) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(x0))) -> c5(1'(0(1(x0)))) by 
   L'(2(c_0(x0))) -> c5(1'(c_0(1(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))

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

(226)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(x0))) -> c5(1'(c_0(1(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c13_2, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1


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

(227) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   L'(2(c_0(x0))) -> c5(1'(c_0(1(x0))))

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

(228)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(0'(1(x0)))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1


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

(229) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_0(x0))) -> c5(0'(1(x0))) by 
   L'(2(c_0(z0))) -> c5(0'(c_1(z0)))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))

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

(230)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(z0))) -> c5(0'(c_1(z0)))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1


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

(231) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   L'(2(c_0(z0))) -> c5(0'(c_1(z0)))

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

(232)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1


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

(233) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_1(x0))) -> c19(L'(1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0))) by 
   L'(2(c_1(x0))) -> c19(L'(c_1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(x0))) -> c19(1'(0(2(x0))), 0'(2(x0)))

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

(234)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c19(L'(c_1(c_0(2(x0)))), 1'(0(2(x0))), 0'(2(x0)))
   L'(2(c_1(x0))) -> c19(1'(0(2(x0))), 0'(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c19_2


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

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

(236)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c19(1'(0(2(x0))), 0'(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c19_2


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

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

(238)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0))))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1


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

(239) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_1(R(z0)))) -> c19(L'(1(1(0(1(R(z0)))))), 1'(0(2(R(z0)))), 0'(2(R(z0)))) by 
   L'(2(c_1(R(x0)))) -> c19(L'(c_1(1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(1'(0(2(R(x0)))), 0'(2(R(x0))))

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

(240)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
   L'(2(c_1(R(x0)))) -> c19(L'(c_1(1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(1'(0(2(R(x0)))), 0'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1, c19_2


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

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

(242)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(1'(0(2(R(x0)))), 0'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1, c19_2


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

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

(244)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0))))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c22(1'(0(2(R(x0)))))
   L'(2(c_1(R(x0)))) -> c22(0'(2(R(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1, c22_1


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

(245) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace L'(2(c_1(c_1(z0)))) -> c19(L'(1(1(0(2(z0))))), 1'(0(2(c_1(z0)))), 0'(2(c_1(z0)))) by 
   L'(2(c_1(c_1(x0)))) -> c19(L'(c_1(1(0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(c_1(0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(1(c_0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(R(z0))))) -> c19(L'(1(1(1(0(1(R(z0))))))), 1'(0(2(c_1(R(z0))))), 0'(2(c_1(R(z0)))))
   L'(2(c_1(c_1(c_1(z0))))) -> c19(L'(1(1(1(0(2(z0)))))), 1'(0(2(c_1(c_1(z0))))), 0'(2(c_1(c_1(z0)))))
   L'(2(c_1(c_1(c_0(z0))))) -> c19(L'(1(1(1(0(1(z0)))))), 1'(0(2(c_1(c_0(z0))))), 0'(2(c_1(c_0(z0)))))
   L'(2(c_1(c_1(x0)))) -> c19(1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))

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

(246)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c22(1'(0(2(R(x0)))))
   L'(2(c_1(R(x0)))) -> c22(0'(2(R(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(c_1(1(0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(c_1(0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(1(c_0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(R(z0))))) -> c19(L'(1(1(1(0(1(R(z0))))))), 1'(0(2(c_1(R(z0))))), 0'(2(c_1(R(z0)))))
   L'(2(c_1(c_1(c_1(z0))))) -> c19(L'(1(1(1(0(2(z0)))))), 1'(0(2(c_1(c_1(z0))))), 0'(2(c_1(c_1(z0)))))
   L'(2(c_1(c_1(c_0(z0))))) -> c19(L'(1(1(1(0(1(z0)))))), 1'(0(2(c_1(c_0(z0))))), 0'(2(c_1(c_0(z0)))))
   L'(2(c_1(c_1(x0)))) -> c19(1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1, c22_1, c19_2


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

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

(248)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c22(1'(0(2(R(x0)))))
   L'(2(c_1(R(x0)))) -> c22(0'(2(R(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(c_1(0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(1(c_0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(R(z0))))) -> c19(L'(1(1(1(0(1(R(z0))))))), 1'(0(2(c_1(R(z0))))), 0'(2(c_1(R(z0)))))
   L'(2(c_1(c_1(c_1(z0))))) -> c19(L'(1(1(1(0(2(z0)))))), 1'(0(2(c_1(c_1(z0))))), 0'(2(c_1(c_1(z0)))))
   L'(2(c_1(c_1(c_0(z0))))) -> c19(L'(1(1(1(0(1(z0)))))), 1'(0(2(c_1(c_0(z0))))), 0'(2(c_1(c_0(z0)))))
   L'(2(c_1(c_1(x0)))) -> c19(1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1, c22_1, c19_2


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

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

(250)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(2(z0)) -> 2(encArg(z0))
   encArg(R(z0)) -> R(encArg(z0))
   encArg(cons_1(z0)) -> 1(encArg(z0))
   encArg(cons_0(z0)) -> 0(encArg(z0))
   encArg(cons_L(z0)) -> L(encArg(z0))
   1(z0) -> c_1(z0)
   1(2(R(z0))) -> 2(0(1(R(z0))))
   1(2(c_1(z0))) -> 2(0(2(z0)))
   1(2(c_0(z0))) -> 2(0(1(z0)))
   0(z0) -> c_0(z0)
   0(2(R(z0))) -> 1(0(1(R(z0))))
   0(2(c_1(z0))) -> 1(0(2(z0)))
   0(2(c_0(z0))) -> 1(0(1(z0)))
   L(2(c_0(z0))) -> L(1(0(1(z0))))
   L(2(c_1(z0))) -> L(1(0(2(z0))))
Tuples:
   ENCARG(2(z0)) -> c(ENCARG(z0))
   ENCARG(R(z0)) -> c1(ENCARG(z0))
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   ENCARG(cons_1(R(z0))) -> c2(ENCARG(R(z0)))
   ENCARG(cons_0(R(z0))) -> c3(ENCARG(R(z0)))
   ENCARG(cons_L(R(z0))) -> c4(ENCARG(R(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   L'(2(c_0(x0))) -> c5(1'(x0))
   L'(2(c_1(c_0(z0)))) -> c19(L'(1(1(0(1(z0))))), 1'(0(2(c_0(z0)))), 0'(2(c_0(z0))))
   L'(2(c_1(x0))) -> c7(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c7(0'(2(x0)))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   ENCODE_1(2(z0)) -> c6(1'(2(encArg(z0))))
   ENCODE_1(cons_1(z0)) -> c6(1'(1(encArg(z0))))
   ENCODE_1(cons_0(z0)) -> c6(1'(0(encArg(z0))))
   ENCODE_1(cons_L(z0)) -> c6(1'(L(encArg(z0))))
   ENCODE_0(2(z0)) -> c6(0'(2(encArg(z0))))
   ENCODE_0(cons_1(z0)) -> c6(0'(1(encArg(z0))))
   ENCODE_0(cons_0(z0)) -> c6(0'(0(encArg(z0))))
   ENCODE_0(cons_L(z0)) -> c6(0'(L(encArg(z0))))
   ENCODE_L(2(z0)) -> c6(L'(2(encArg(z0))))
   ENCODE_L(cons_1(z0)) -> c6(L'(1(encArg(z0))))
   ENCODE_L(cons_0(z0)) -> c6(L'(0(encArg(z0))))
   ENCODE_L(cons_L(z0)) -> c6(L'(L(encArg(z0))))
   ENCARG(cons_1(2(R(z0)))) -> c2(1'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_1(2(cons_1(z0)))) -> c2(1'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_1(2(cons_0(z0)))) -> c2(1'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_1(2(cons_L(z0)))) -> c2(1'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_1(2(x0))) -> c2(ENCARG(2(x0)))
   ENCARG(cons_1(2(2(z0)))) -> c2(ENCARG(2(2(z0))))
   ENCARG(cons_1(cons_1(2(z0)))) -> c2(1'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_1(cons_1(R(z0)))) -> c2(1'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_1(cons_1(cons_1(z0)))) -> c2(1'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_1(cons_1(cons_0(z0)))) -> c2(1'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_1(cons_1(cons_L(z0)))) -> c2(1'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_1(cons_1(x0))) -> c2(ENCARG(cons_1(x0)))
   ENCARG(cons_1(cons_0(2(z0)))) -> c2(1'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_1(cons_0(R(z0)))) -> c2(1'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_1(cons_0(cons_1(z0)))) -> c2(1'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_1(cons_0(cons_0(z0)))) -> c2(1'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_1(cons_0(cons_L(z0)))) -> c2(1'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_1(cons_0(x0))) -> c2(ENCARG(cons_0(x0)))
   ENCARG(cons_1(cons_L(2(z0)))) -> c2(1'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_1(cons_L(cons_1(z0)))) -> c2(1'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_1(cons_L(cons_0(z0)))) -> c2(1'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_1(cons_L(cons_L(z0)))) -> c2(1'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_1(cons_L(R(z0)))) -> c2(ENCARG(cons_L(R(z0))))
   ENCARG(cons_0(2(R(z0)))) -> c3(0'(2(R(encArg(z0)))), ENCARG(2(R(z0))))
   ENCARG(cons_0(2(cons_1(z0)))) -> c3(0'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_0(2(cons_0(z0)))) -> c3(0'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_0(2(cons_L(z0)))) -> c3(0'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_0(2(x0))) -> c3(ENCARG(2(x0)))
   ENCARG(cons_0(2(2(z0)))) -> c3(ENCARG(2(2(z0))))
   ENCARG(cons_0(cons_1(2(z0)))) -> c3(0'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_0(cons_1(R(z0)))) -> c3(0'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_0(cons_1(cons_1(z0)))) -> c3(0'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_0(cons_1(cons_0(z0)))) -> c3(0'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_0(cons_1(cons_L(z0)))) -> c3(0'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_0(cons_1(x0))) -> c3(ENCARG(cons_1(x0)))
   ENCARG(cons_0(cons_0(2(z0)))) -> c3(0'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_0(cons_0(R(z0)))) -> c3(0'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_0(cons_0(cons_1(z0)))) -> c3(0'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_0(cons_0(cons_0(z0)))) -> c3(0'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_0(cons_0(cons_L(z0)))) -> c3(0'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_0(cons_0(x0))) -> c3(ENCARG(cons_0(x0)))
   ENCARG(cons_0(cons_L(2(z0)))) -> c3(0'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_0(cons_L(cons_1(z0)))) -> c3(0'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_0(cons_L(cons_0(z0)))) -> c3(0'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_0(cons_L(cons_L(z0)))) -> c3(0'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_0(cons_L(R(z0)))) -> c3(ENCARG(cons_L(R(z0))))
   ENCARG(cons_L(2(cons_1(z0)))) -> c4(L'(2(1(encArg(z0)))), ENCARG(2(cons_1(z0))))
   ENCARG(cons_L(2(cons_0(z0)))) -> c4(L'(2(0(encArg(z0)))), ENCARG(2(cons_0(z0))))
   ENCARG(cons_L(2(cons_L(z0)))) -> c4(L'(2(L(encArg(z0)))), ENCARG(2(cons_L(z0))))
   ENCARG(cons_L(2(x0))) -> c4(ENCARG(2(x0)))
   ENCARG(cons_L(2(2(z0)))) -> c4(ENCARG(2(2(z0))))
   ENCARG(cons_L(2(R(z0)))) -> c4(ENCARG(2(R(z0))))
   ENCARG(cons_L(cons_1(2(z0)))) -> c4(L'(1(2(encArg(z0)))), ENCARG(cons_1(2(z0))))
   ENCARG(cons_L(cons_1(R(z0)))) -> c4(L'(1(R(encArg(z0)))), ENCARG(cons_1(R(z0))))
   ENCARG(cons_L(cons_1(cons_1(z0)))) -> c4(L'(1(1(encArg(z0)))), ENCARG(cons_1(cons_1(z0))))
   ENCARG(cons_L(cons_1(cons_0(z0)))) -> c4(L'(1(0(encArg(z0)))), ENCARG(cons_1(cons_0(z0))))
   ENCARG(cons_L(cons_1(cons_L(z0)))) -> c4(L'(1(L(encArg(z0)))), ENCARG(cons_1(cons_L(z0))))
   ENCARG(cons_L(cons_1(x0))) -> c4(ENCARG(cons_1(x0)))
   ENCARG(cons_L(cons_0(2(z0)))) -> c4(L'(0(2(encArg(z0)))), ENCARG(cons_0(2(z0))))
   ENCARG(cons_L(cons_0(R(z0)))) -> c4(L'(0(R(encArg(z0)))), ENCARG(cons_0(R(z0))))
   ENCARG(cons_L(cons_0(cons_1(z0)))) -> c4(L'(0(1(encArg(z0)))), ENCARG(cons_0(cons_1(z0))))
   ENCARG(cons_L(cons_0(cons_0(z0)))) -> c4(L'(0(0(encArg(z0)))), ENCARG(cons_0(cons_0(z0))))
   ENCARG(cons_L(cons_0(cons_L(z0)))) -> c4(L'(0(L(encArg(z0)))), ENCARG(cons_0(cons_L(z0))))
   ENCARG(cons_L(cons_0(x0))) -> c4(ENCARG(cons_0(x0)))
   ENCARG(cons_L(cons_L(2(z0)))) -> c4(L'(L(2(encArg(z0)))), ENCARG(cons_L(2(z0))))
   ENCARG(cons_L(cons_L(cons_1(z0)))) -> c4(L'(L(1(encArg(z0)))), ENCARG(cons_L(cons_1(z0))))
   ENCARG(cons_L(cons_L(cons_0(z0)))) -> c4(L'(L(0(encArg(z0)))), ENCARG(cons_L(cons_0(z0))))
   ENCARG(cons_L(cons_L(cons_L(z0)))) -> c4(L'(L(L(encArg(z0)))), ENCARG(cons_L(cons_L(z0))))
   ENCARG(cons_L(cons_L(R(z0)))) -> c4(ENCARG(cons_L(R(z0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(x0))) -> c13(0'(1(x0)), 1'(x0))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(z0))) -> c18(L'(1(c_0(c_1(z0)))), 1'(0(1(z0))), 0'(1(z0)), 1'(z0))
   L'(2(c_0(2(R(z0))))) -> c18(L'(1(c_0(2(0(1(R(z0))))))), 1'(0(1(2(R(z0))))), 0'(1(2(R(z0)))), 1'(2(R(z0))))
   L'(2(c_0(2(c_1(z0))))) -> c18(L'(1(c_0(2(0(2(z0)))))), 1'(0(1(2(c_1(z0))))), 0'(1(2(c_1(z0)))), 1'(2(c_1(z0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(c_0(2(0(1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(x0))) -> c18(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c8(0'(1(x0)))
   L'(2(c_0(x0))) -> c8(1'(x0))
   L'(2(c_0(x0))) -> c9(1'(0(1(x0))))
   L'(2(c_0(x0))) -> c9(0'(1(x0)))
   L'(2(c_0(x0))) -> c9(1'(x0))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(c_0(1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c18(L'(1(0(2(0(c_1(R(x0))))))), 1'(0(1(2(R(x0))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(0(1(2(R(x0))))))
   L'(2(c_0(2(R(x0))))) -> c10(0'(1(2(R(x0)))))
   L'(2(c_0(2(R(x0))))) -> c10(1'(2(R(x0))))
   L'(2(c_0(2(c_1(x0))))) -> c18(L'(1(0(2(c_0(2(x0)))))), 1'(0(1(2(c_1(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   L'(2(c_0(2(c_1(R(z0)))))) -> c18(L'(1(0(2(1(0(1(R(z0)))))))), 1'(0(1(2(c_1(R(z0)))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   L'(2(c_0(2(c_1(c_1(z0)))))) -> c18(L'(1(0(2(1(0(2(z0))))))), 1'(0(1(2(c_1(c_1(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   L'(2(c_0(2(c_1(c_0(z0)))))) -> c18(L'(1(0(2(1(0(1(z0))))))), 1'(0(1(2(c_1(c_0(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(0(1(2(c_1(x0))))))
   L'(2(c_0(2(c_1(x0))))) -> c14(0'(1(2(c_1(x0)))))
   L'(2(c_0(2(c_1(x0))))) -> c14(1'(2(c_1(x0))))
   L'(2(c_0(2(c_0(x0))))) -> c18(L'(1(0(2(c_0(1(x0)))))), 1'(0(1(2(c_0(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   L'(2(c_0(2(c_0(z0))))) -> c18(L'(1(0(2(0(c_1(z0)))))), 1'(0(1(2(c_0(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   L'(2(c_0(2(c_0(2(R(z0))))))) -> c18(L'(1(0(2(0(2(0(1(R(z0))))))))), 1'(0(1(2(c_0(2(R(z0))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   L'(2(c_0(2(c_0(2(c_1(z0))))))) -> c18(L'(1(0(2(0(2(0(2(z0)))))))), 1'(0(1(2(c_0(2(c_1(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   L'(2(c_0(2(c_0(2(c_0(z0))))))) -> c18(L'(1(0(2(0(2(0(1(z0)))))))), 1'(0(1(2(c_0(2(c_0(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(0(1(2(c_0(x0))))))
   L'(2(c_0(2(c_0(x0))))) -> c20(0'(1(2(c_0(x0)))))
   L'(2(c_0(2(c_0(x0))))) -> c20(1'(2(c_0(x0))))
   L'(2(c_0(z0))) -> c5(1'(0(c_1(z0))))
   L'(2(c_0(2(R(z0))))) -> c5(1'(0(2(0(1(R(z0)))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(1'(0(2(0(2(z0))))))
   L'(2(c_0(2(c_0(z0))))) -> c5(1'(0(2(0(1(z0))))))
   L'(2(c_0(2(R(z0))))) -> c5(0'(2(0(1(R(z0))))))
   L'(2(c_0(2(c_1(z0))))) -> c5(0'(2(0(2(z0)))))
   L'(2(c_0(2(c_0(z0))))) -> c5(0'(2(0(1(z0)))))
   L'(2(c_1(x0))) -> c21(1'(0(2(x0))))
   L'(2(c_1(x0))) -> c21(0'(2(x0)))
   L'(2(c_1(R(x0)))) -> c19(L'(1(c_1(0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(c_0(1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c19(L'(1(1(0(c_1(R(x0)))))), 1'(0(2(R(x0)))), 0'(2(R(x0))))
   L'(2(c_1(R(x0)))) -> c22(1'(0(2(R(x0)))))
   L'(2(c_1(R(x0)))) -> c22(0'(2(R(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(c_1(0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(x0)))) -> c19(L'(1(1(c_0(2(x0))))), 1'(0(2(c_1(x0)))), 0'(2(c_1(x0))))
   L'(2(c_1(c_1(R(z0))))) -> c19(L'(1(1(1(0(1(R(z0))))))), 1'(0(2(c_1(R(z0))))), 0'(2(c_1(R(z0)))))
   L'(2(c_1(c_1(c_1(z0))))) -> c19(L'(1(1(1(0(2(z0)))))), 1'(0(2(c_1(c_1(z0))))), 0'(2(c_1(c_1(z0)))))
   L'(2(c_1(c_1(c_0(z0))))) -> c19(L'(1(1(1(0(1(z0)))))), 1'(0(2(c_1(c_0(z0))))), 0'(2(c_1(c_0(z0)))))
   L'(2(c_1(c_1(x0)))) -> c23(1'(0(2(c_1(x0)))))
   L'(2(c_1(c_1(x0)))) -> c23(0'(2(c_1(x0))))
S tuples:
   1'(2(c_1(z0))) -> c16(0'(2(z0)))
   0'(2(c_1(x0))) -> c12(0'(2(x0)))
   1'(2(c_0(z0))) -> c17(1'(z0))
   0'(2(R(x0))) -> c11(1'(0(c_1(R(x0)))), 0'(1(R(x0))))
   0'(2(R(x0))) -> c11(0'(1(R(x0))))
   1'(2(R(x0))) -> c15
   0'(2(c_1(R(x0)))) -> c12(1'(1(c_0(1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(1'(1(0(c_1(R(x0))))), 0'(2(R(x0))))
   0'(2(c_1(R(x0)))) -> c12(0'(2(R(x0))))
   0'(2(c_1(c_1(x0)))) -> c12(1'(1(c_0(2(x0)))), 0'(2(c_1(x0))))
   0'(2(c_1(c_1(R(z0))))) -> c12(1'(1(1(0(1(R(z0)))))), 0'(2(c_1(R(z0)))))
   0'(2(c_1(c_1(c_1(z0))))) -> c12(1'(1(1(0(2(z0))))), 0'(2(c_1(c_1(z0)))))
   0'(2(c_1(c_1(c_0(z0))))) -> c12(1'(1(1(0(1(z0))))), 0'(2(c_1(c_0(z0)))))
   0'(2(c_1(c_1(x0)))) -> c12(0'(2(c_1(x0))))
   0'(2(c_1(c_0(x0)))) -> c12(1'(1(c_0(1(x0)))), 0'(2(c_0(x0))))
   0'(2(c_1(c_0(z0)))) -> c12(1'(1(0(c_1(z0)))), 0'(2(c_0(z0))))
   0'(2(c_1(c_0(2(R(z0)))))) -> c12(1'(1(0(2(0(1(R(z0))))))), 0'(2(c_0(2(R(z0))))))
   0'(2(c_1(c_0(2(c_1(z0)))))) -> c12(1'(1(0(2(0(2(z0)))))), 0'(2(c_0(2(c_1(z0))))))
   0'(2(c_1(c_0(2(c_0(z0)))))) -> c12(1'(1(0(2(0(1(z0)))))), 0'(2(c_0(2(c_0(z0))))))
   0'(2(c_1(c_0(x0)))) -> c12(0'(2(c_0(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(c_0(1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(1'(0(2(0(c_1(R(x0)))))), 0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(R(x0))))) -> c13(0'(1(2(R(x0)))), 1'(2(R(x0))))
   0'(2(c_0(2(c_1(x0))))) -> c13(1'(0(2(c_0(2(x0))))), 0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_1(R(z0)))))) -> c13(1'(0(2(1(0(1(R(z0))))))), 0'(1(2(c_1(R(z0))))), 1'(2(c_1(R(z0)))))
   0'(2(c_0(2(c_1(c_1(z0)))))) -> c13(1'(0(2(1(0(2(z0)))))), 0'(1(2(c_1(c_1(z0))))), 1'(2(c_1(c_1(z0)))))
   0'(2(c_0(2(c_1(c_0(z0)))))) -> c13(1'(0(2(1(0(1(z0)))))), 0'(1(2(c_1(c_0(z0))))), 1'(2(c_1(c_0(z0)))))
   0'(2(c_0(2(c_1(x0))))) -> c13(0'(1(2(c_1(x0)))), 1'(2(c_1(x0))))
   0'(2(c_0(2(c_0(x0))))) -> c13(1'(0(2(c_0(1(x0))))), 0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(1'(0(2(0(c_1(z0))))), 0'(1(2(c_0(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(2(c_0(2(R(z0))))))) -> c13(1'(0(2(0(2(0(1(R(z0)))))))), 0'(1(2(c_0(2(R(z0)))))), 1'(2(c_0(2(R(z0))))))
   0'(2(c_0(2(c_0(2(c_1(z0))))))) -> c13(1'(0(2(0(2(0(2(z0))))))), 0'(1(2(c_0(2(c_1(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   0'(2(c_0(2(c_0(2(c_0(z0))))))) -> c13(1'(0(2(0(2(0(1(z0))))))), 0'(1(2(c_0(2(c_0(z0)))))), 1'(2(c_0(2(c_0(z0))))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))))
   0'(2(c_0(2(c_0(x0))))) -> c13(0'(1(2(c_0(x0)))), 1'(2(c_0(x0))))
   0'(2(c_0(2(R(z0))))) -> c13(0'(2(0(1(R(z0))))), 1'(2(R(z0))))
   0'(2(c_0(2(c_1(z0))))) -> c13(0'(2(0(2(z0)))), 1'(2(c_1(z0))))
   0'(2(c_0(2(c_0(z0))))) -> c13(0'(2(0(1(z0)))), 1'(2(c_0(z0))))
   0'(2(c_0(z0))) -> c13(1'(z0))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(c_0(1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(0'(2(0(c_1(R(x0))))), 1'(2(R(x0))))
   1'(2(c_0(2(R(x0))))) -> c17(1'(2(R(x0))))
   1'(2(c_0(2(c_1(x0))))) -> c17(0'(2(c_0(2(x0)))), 1'(2(c_1(x0))))
   1'(2(c_0(2(c_1(R(z0)))))) -> c17(0'(2(1(0(1(R(z0)))))), 1'(2(c_1(R(z0)))))
   1'(2(c_0(2(c_1(c_1(z0)))))) -> c17(0'(2(1(0(2(z0))))), 1'(2(c_1(c_1(z0)))))
   1'(2(c_0(2(c_1(c_0(z0)))))) -> c17(0'(2(1(0(1(z0))))), 1'(2(c_1(c_0(z0)))))
   1'(2(c_0(2(c_1(x0))))) -> c17(1'(2(c_1(x0))))
   1'(2(c_0(2(c_0(x0))))) -> c17(0'(2(c_0(1(x0)))), 1'(2(c_0(x0))))
   1'(2(c_0(2(c_0(z0))))) -> c17(0'(2(0(c_1(z0)))), 1'(2(c_0(z0))))
   1'(2(c_0(2(c_0(2(R(z0))))))) -> c17(0'(2(0(2(0(1(R(z0))))))), 1'(2(c_0(2(R(z0))))))
   1'(2(c_0(2(c_0(2(c_1(z0))))))) -> c17(0'(2(0(2(0(2(z0)))))), 1'(2(c_0(2(c_1(z0))))))
   1'(2(c_0(2(c_0(2(c_0(z0))))))) -> c17(0'(2(0(2(0(1(z0)))))), 1'(2(c_0(2(c_0(z0))))))
K tuples:none
Defined Rule Symbols:   encArg_1, 1_1, 0_1, L_1

Defined Pair Symbols:   ENCARG_1, 1'_1, 0'_1, L'_1, ENCODE_1_1, ENCODE_0_1, ENCODE_L_1

Compound Symbols:   c_1, c1_1, c16_1, c2_1, c3_1, c4_1, c12_1, c17_1, c5_1, c19_3, c7_1, c11_2, c11_1, c15, c6_1, c2_2, c3_2, c4_2, c12_2, c13_2, c13_3, c13_1, c17_2, c18_4, c18_1, c8_1, c9_1, c10_1, c14_1, c20_1, c21_1, c22_1, c23_1