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


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


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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


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

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 175 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), 218 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) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (20) CpxWeightedTrs
    (21) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxTypedWeightedTrs
    (23) CompletionProof [UPPER BOUND(ID), 0 ms]
    (24) CpxTypedWeightedCompleteTrs
        (25) NarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
        (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (28) CpxRNTS
        (29) SimplificationProof [BOTH BOUNDS(ID, ID), 0 ms]
        (30) CpxRNTS
    (31) CompletionProof [UPPER BOUND(ID), 0 ms]
    (32) CpxTypedWeightedCompleteTrs
        (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
        (34) CpxRNTS
(35) CpxTrsToCdtProof [UPPER BOUND(ID), 0 ms]
(36) CdtProblem
    (37) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (38) CdtProblem
    (39) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (40) CdtProblem
    (41) CdtGraphSplitRhsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (42) CdtProblem
    (43) CdtLeafRemovalProof [ComplexityIfPolyImplication, 0 ms]
    (44) CdtProblem
    (45) CdtUsableRulesProof [BOTH BOUNDS(ID, ID), 0 ms]
    (46) CdtProblem
    (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (48) CdtProblem
    (49) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (50) CdtProblem
    (51) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (52) CdtProblem
    (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (54) CdtProblem
    (55) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (56) CdtProblem
    (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (58) CdtProblem
    (59) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (60) CdtProblem
    (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms]
    (62) CdtProblem
    (63) CdtLeafRemovalProof [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), 0 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), 22 ms]
    (78) CdtProblem
    (79) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (80) CdtProblem
    (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (82) CdtProblem
    (83) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (84) CdtProblem
    (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (86) CdtProblem
    (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
    (88) CdtProblem
    (89) CdtLeafRemovalProof [BOTH BOUNDS(ID, ID), 0 ms]
    (90) CdtProblem
    (91) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 0 ms]
    (92) CdtProblem
    (93) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 1 ms]
    (94) CdtProblem
    (95) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 42 ms]
    (96) CdtProblem
    (97) CdtRhsSimplificationProcessorProof [BOTH BOUNDS(ID, ID), 0 ms]
    (98) CdtProblem
    (99) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 3 ms]
    (100) CdtProblem
    (101) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 6 ms]
    (102) CdtProblem
    (103) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 55 ms]
    (104) CdtProblem
    (105) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 84 ms]
    (106) CdtProblem
    (107) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 652 ms]
    (108) CdtProblem
    (109) CdtForwardInstantiationProof [BOTH BOUNDS(ID, ID), 6582 ms]
    (110) CdtProblem


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

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


The TRS R consists of the following rules:

   c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c(b(c(y), 0))) -> a(0, c(c(a(y, 0))))
   c(c(a(a(y, 0), x))) -> c(y)

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

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

   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0) -> 0
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0


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

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


The TRS R consists of the following rules:

   c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c(b(c(y), 0))) -> a(0, c(c(a(y, 0))))
   c(c(a(a(y, 0), x))) -> c(y)

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

   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0) -> 0
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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

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

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


The TRS R consists of the following rules:

   c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c(b(c(y), 0))) -> a(0, c(c(a(y, 0))))
   c(c(a(a(y, 0), x))) -> c(y)

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

   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0) -> 0
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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

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

(6)
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:

   c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c(b(c(y), 0'))) -> a(0', c(c(a(y, 0'))))
   c(c(a(a(y, 0'), x))) -> c(y)

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

   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0') -> 0'
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0'

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

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

(8)
Obligation:
Innermost TRS:
Rules:
c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
c(c(b(c(y), 0'))) -> a(0', c(c(a(y, 0'))))
c(c(a(a(y, 0'), x))) -> c(y)
encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
encArg(0') -> 0'
encArg(cons_c(x_1)) -> c(encArg(x_1))
encode_c(x_1) -> c(encArg(x_1))
encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
encode_0 -> 0'

Types:
c :: a:b:0':cons_c -> a:b:0':cons_c
a :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
b :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
0' :: a:b:0':cons_c
encArg :: a:b:0':cons_c -> a:b:0':cons_c
cons_c :: a:b:0':cons_c -> a:b:0':cons_c
encode_c :: a:b:0':cons_c -> a:b:0':cons_c
encode_a :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
encode_b :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
encode_0 :: a:b:0':cons_c
hole_a:b:0':cons_c1_3 :: a:b:0':cons_c
gen_a:b:0':cons_c2_3 :: Nat -> a:b:0':cons_c

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

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

They will be analysed ascendingly in the following order:
c < encArg

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

(10)
Obligation:
Innermost TRS:
Rules:
c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
c(c(b(c(y), 0'))) -> a(0', c(c(a(y, 0'))))
c(c(a(a(y, 0'), x))) -> c(y)
encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
encArg(0') -> 0'
encArg(cons_c(x_1)) -> c(encArg(x_1))
encode_c(x_1) -> c(encArg(x_1))
encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
encode_0 -> 0'

Types:
c :: a:b:0':cons_c -> a:b:0':cons_c
a :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
b :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
0' :: a:b:0':cons_c
encArg :: a:b:0':cons_c -> a:b:0':cons_c
cons_c :: a:b:0':cons_c -> a:b:0':cons_c
encode_c :: a:b:0':cons_c -> a:b:0':cons_c
encode_a :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
encode_b :: a:b:0':cons_c -> a:b:0':cons_c -> a:b:0':cons_c
encode_0 :: a:b:0':cons_c
hole_a:b:0':cons_c1_3 :: a:b:0':cons_c
gen_a:b:0':cons_c2_3 :: Nat -> a:b:0':cons_c


Generator Equations:
gen_a:b:0':cons_c2_3(0) <=> 0'
gen_a:b:0':cons_c2_3(+(x, 1)) <=> a(0', gen_a:b:0':cons_c2_3(x))


The following defined symbols remain to be analysed:
c, encArg

They will be analysed ascendingly in the following order:
c < encArg

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_a:b:0':cons_c2_3(n23_3)) -> gen_a:b:0':cons_c2_3(n23_3), rt in Omega(0)

Induction Base:
encArg(gen_a:b:0':cons_c2_3(0)) ->_R^Omega(0)
0'

Induction Step:
encArg(gen_a:b:0':cons_c2_3(+(n23_3, 1))) ->_R^Omega(0)
a(encArg(0'), encArg(gen_a:b:0':cons_c2_3(n23_3))) ->_R^Omega(0)
a(0', encArg(gen_a:b:0':cons_c2_3(n23_3))) ->_IH
a(0', gen_a:b:0':cons_c2_3(c24_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 (innermost) of the given CpxRelTRS could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c(b(c(y), 0))) -> a(0, c(c(a(y, 0))))
   c(c(a(a(y, 0), x))) -> c(y)

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

   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0) -> 0
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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

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

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


The TRS R consists of the following rules:

   c(c(c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c(b(c(y), 0))) -> a(0, c(c(a(y, 0))))
   c(c(a(a(y, 0), x))) -> c(y)
   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0) -> 0
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0

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

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

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


The TRS R consists of the following rules:

   c(c_c(b(c_c(y), 0))) -> a(0, c(c(a(y, 0))))
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(c(y)))), x)
   c(c_c(a(a(y, 0), x))) -> c(y)

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

   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2))
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2))
   encArg(0) -> 0
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2))
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2))
   encode_0 -> 0
   c(x0) -> c_c(x0)

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

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

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


The TRS R consists of the following rules:

   c(c_c(b(c_c(y), 0))) -> a(0, c(c(a(y, 0)))) [1]
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(c(y)))), x) [1]
   c(c_c(a(a(y, 0), x))) -> c(y) [1]
   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2)) [0]
   encArg(0) -> 0 [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   c(x0) -> c_c(x0) [0]

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

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

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

   c(c_c(b(c_c(y), 0))) -> a(0, c(c(a(y, 0)))) [1]
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(c(y)))), x) [1]
   c(c_c(a(a(y, 0), x))) -> c(y) [1]
   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2)) [0]
   encArg(0) -> 0 [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   c(x0) -> c_c(x0) [0]

The TRS has the following type information:
c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
c_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
b :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
0 :: c_c:0:b:a:cons_c
a :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encArg :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
cons_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_a :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_b :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_0 :: c_c:0:b:a:cons_c

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

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

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

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

(c) The following functions are completely defined:

   encArg_1
   encode_c_1
   encode_a_2
   encode_b_2
   encode_0
   c_1

Due to the following rules being added:

   encArg(v0) -> 0 [0]
   encode_c(v0) -> 0 [0]
   encode_a(v0, v1) -> 0 [0]
   encode_b(v0, v1) -> 0 [0]
   encode_0 -> 0 [0]
   c(v0) -> 0 [0]

And the following fresh constants: none

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

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

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

   c(c_c(b(c_c(y), 0))) -> a(0, c(c(a(y, 0)))) [1]
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(c(y)))), x) [1]
   c(c_c(a(a(y, 0), x))) -> c(y) [1]
   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2)) [0]
   encArg(0) -> 0 [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   c(x0) -> c_c(x0) [0]
   encArg(v0) -> 0 [0]
   encode_c(v0) -> 0 [0]
   encode_a(v0, v1) -> 0 [0]
   encode_b(v0, v1) -> 0 [0]
   encode_0 -> 0 [0]
   c(v0) -> 0 [0]

The TRS has the following type information:
c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
c_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
b :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
0 :: c_c:0:b:a:cons_c
a :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encArg :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
cons_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_a :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_b :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_0 :: c_c:0:b:a:cons_c

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

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

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

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

   c(c_c(b(c_c(y), 0))) -> a(0, c(c_c(a(y, 0)))) [1]
   c(c_c(b(c_c(y), 0))) -> a(0, c(0)) [1]
   c(c_c(c_c(a(x, c_c(b(c_c(y'), 0)))))) -> b(c(c(c(a(0, c(c(a(y', 0))))))), x) [2]
   c(c_c(c_c(a(x, c_c(c_c(a(x', y''))))))) -> b(c(c(c(b(c(c(c(c(y'')))), x')))), x) [2]
   c(c_c(c_c(a(x, c_c(a(a(y1, 0), x'')))))) -> b(c(c(c(c(y1)))), x) [2]
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(c_c(y)))), x) [1]
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(0))), x) [1]
   c(c_c(a(a(y, 0), x))) -> c(y) [1]
   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2)) [0]
   encArg(0) -> 0 [0]
   encArg(cons_c(a(x_1', x_2'))) -> c(a(encArg(x_1'), encArg(x_2'))) [0]
   encArg(cons_c(b(x_1'', x_2''))) -> c(b(encArg(x_1''), encArg(x_2''))) [0]
   encArg(cons_c(0)) -> c(0) [0]
   encArg(cons_c(cons_c(x_11))) -> c(c(encArg(x_11))) [0]
   encArg(cons_c(x_1)) -> c(0) [0]
   encode_c(a(x_12, x_21)) -> c(a(encArg(x_12), encArg(x_21))) [0]
   encode_c(b(x_13, x_22)) -> c(b(encArg(x_13), encArg(x_22))) [0]
   encode_c(0) -> c(0) [0]
   encode_c(cons_c(x_14)) -> c(c(encArg(x_14))) [0]
   encode_c(x_1) -> c(0) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   c(x0) -> c_c(x0) [0]
   encArg(v0) -> 0 [0]
   encode_c(v0) -> 0 [0]
   encode_a(v0, v1) -> 0 [0]
   encode_b(v0, v1) -> 0 [0]
   encode_0 -> 0 [0]
   c(v0) -> 0 [0]

The TRS has the following type information:
c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
c_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
b :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
0 :: c_c:0:b:a:cons_c
a :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encArg :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
cons_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_c :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_a :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_b :: c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c -> c_c:0:b:a:cons_c
encode_0 :: c_c:0:b:a:cons_c

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

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

   0 => 0

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

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

   c(z) -{ 1 }-> c(y) :|: y >= 0, x >= 0, z = 1 + (1 + (1 + y + 0) + x)
   c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   c(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   c(z) -{ 2 }-> 1 + c(c(c(c(y1)))) + x :|: y1 >= 0, x >= 0, z = 1 + (1 + (1 + x + (1 + (1 + (1 + y1 + 0) + x'')))), x'' >= 0
   c(z) -{ 1 }-> 1 + c(c(c(0))) + x :|: x >= 0, y >= 0, z = 1 + (1 + (1 + x + y))
   c(z) -{ 1 }-> 1 + c(c(c(1 + y))) + x :|: x >= 0, y >= 0, z = 1 + (1 + (1 + x + y))
   c(z) -{ 2 }-> 1 + c(c(c(1 + c(c(c(c(y'')))) + x'))) + x :|: z = 1 + (1 + (1 + x + (1 + (1 + (1 + x' + y''))))), x >= 0, x' >= 0, y'' >= 0
   c(z) -{ 2 }-> 1 + c(c(c(1 + 0 + c(c(1 + y' + 0))))) + x :|: z = 1 + (1 + (1 + x + (1 + (1 + (1 + y') + 0)))), x >= 0, y' >= 0
   c(z) -{ 1 }-> 1 + 0 + c(0) :|: z = 1 + (1 + (1 + y) + 0), y >= 0
   c(z) -{ 1 }-> 1 + 0 + c(1 + (1 + y + 0)) :|: z = 1 + (1 + (1 + y) + 0), y >= 0
   encArg(z) -{ 0 }-> c(c(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> c(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> c(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> c(1 + encArg(x_1') + encArg(x_2')) :|: z = 1 + (1 + x_1' + x_2'), x_2' >= 0, x_1' >= 0
   encArg(z) -{ 0 }-> c(1 + encArg(x_1'') + encArg(x_2'')) :|: x_1'' >= 0, z = 1 + (1 + x_1'' + x_2''), x_2'' >= 0
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encode_0 -{ 0 }-> 0 :|: 
   encode_a(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_a(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_b(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_b(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_c(z) -{ 0 }-> c(c(encArg(x_14))) :|: x_14 >= 0, z = 1 + x_14
   encode_c(z) -{ 0 }-> c(0) :|: z = 0
   encode_c(z) -{ 0 }-> c(0) :|: x_1 >= 0, z = x_1
   encode_c(z) -{ 0 }-> c(1 + encArg(x_12) + encArg(x_21)) :|: z = 1 + x_12 + x_21, x_12 >= 0, x_21 >= 0
   encode_c(z) -{ 0 }-> c(1 + encArg(x_13) + encArg(x_22)) :|: x_13 >= 0, z = 1 + x_13 + x_22, x_22 >= 0
   encode_c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   c(z) -{ 1 }-> c(y) :|: y >= 0, x >= 0, z = 1 + (1 + (1 + y + 0) + x)
   c(z) -{ 0 }-> 0 :|: z >= 0
   c(z) -{ 0 }-> 1 + z :|: z >= 0
   c(z) -{ 2 }-> 1 + c(c(c(c(y1)))) + x :|: y1 >= 0, x >= 0, z = 1 + (1 + (1 + x + (1 + (1 + (1 + y1 + 0) + x'')))), x'' >= 0
   c(z) -{ 1 }-> 1 + c(c(c(0))) + x :|: x >= 0, y >= 0, z = 1 + (1 + (1 + x + y))
   c(z) -{ 1 }-> 1 + c(c(c(1 + y))) + x :|: x >= 0, y >= 0, z = 1 + (1 + (1 + x + y))
   c(z) -{ 2 }-> 1 + c(c(c(1 + c(c(c(c(y'')))) + x'))) + x :|: z = 1 + (1 + (1 + x + (1 + (1 + (1 + x' + y''))))), x >= 0, x' >= 0, y'' >= 0
   c(z) -{ 2 }-> 1 + c(c(c(1 + 0 + c(c(1 + y' + 0))))) + x :|: z = 1 + (1 + (1 + x + (1 + (1 + (1 + y') + 0)))), x >= 0, y' >= 0
   c(z) -{ 1 }-> 1 + 0 + c(0) :|: z - 3 >= 0
   c(z) -{ 1 }-> 1 + 0 + c(1 + (1 + (z - 3) + 0)) :|: z - 3 >= 0
   encArg(z) -{ 0 }-> c(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(0) :|: z = 1 + 0
   encArg(z) -{ 0 }-> c(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> c(1 + encArg(x_1') + encArg(x_2')) :|: z = 1 + (1 + x_1' + x_2'), x_2' >= 0, x_1' >= 0
   encArg(z) -{ 0 }-> c(1 + encArg(x_1'') + encArg(x_2'')) :|: x_1'' >= 0, z = 1 + (1 + x_1'' + x_2''), x_2'' >= 0
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encode_0 -{ 0 }-> 0 :|: 
   encode_a(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_a(z, z') -{ 0 }-> 1 + encArg(z) + encArg(z') :|: z >= 0, z' >= 0
   encode_b(z, z') -{ 0 }-> 0 :|: z >= 0, z' >= 0
   encode_b(z, z') -{ 0 }-> 1 + encArg(z) + encArg(z') :|: z >= 0, z' >= 0
   encode_c(z) -{ 0 }-> c(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(0) :|: z = 0
   encode_c(z) -{ 0 }-> c(0) :|: z >= 0
   encode_c(z) -{ 0 }-> c(1 + encArg(x_12) + encArg(x_21)) :|: z = 1 + x_12 + x_21, x_12 >= 0, x_21 >= 0
   encode_c(z) -{ 0 }-> c(1 + encArg(x_13) + encArg(x_22)) :|: x_13 >= 0, z = 1 + x_13 + x_22, x_22 >= 0
   encode_c(z) -{ 0 }-> 0 :|: z >= 0


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

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

   encArg(v0) -> null_encArg [0]
   encode_c(v0) -> null_encode_c [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_b(v0, v1) -> null_encode_b [0]
   encode_0 -> null_encode_0 [0]
   c(v0) -> null_c [0]

And the following fresh constants:    null_encArg, null_encode_c, null_encode_a, null_encode_b, null_encode_0, null_c

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

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

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

   c(c_c(b(c_c(y), 0))) -> a(0, c(c(a(y, 0)))) [1]
   c(c_c(c_c(a(x, y)))) -> b(c(c(c(c(y)))), x) [1]
   c(c_c(a(a(y, 0), x))) -> c(y) [1]
   encArg(a(x_1, x_2)) -> a(encArg(x_1), encArg(x_2)) [0]
   encArg(b(x_1, x_2)) -> b(encArg(x_1), encArg(x_2)) [0]
   encArg(0) -> 0 [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_a(x_1, x_2) -> a(encArg(x_1), encArg(x_2)) [0]
   encode_b(x_1, x_2) -> b(encArg(x_1), encArg(x_2)) [0]
   encode_0 -> 0 [0]
   c(x0) -> c_c(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_c(v0) -> null_encode_c [0]
   encode_a(v0, v1) -> null_encode_a [0]
   encode_b(v0, v1) -> null_encode_b [0]
   encode_0 -> null_encode_0 [0]
   c(v0) -> null_c [0]

The TRS has the following type information:
c :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
c_c :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
b :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
0 :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
a :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
encArg :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
cons_c :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
encode_c :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
encode_a :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
encode_b :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c -> c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
encode_0 :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
null_encArg :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
null_encode_c :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
null_encode_a :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
null_encode_b :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
null_encode_0 :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c
null_c :: c_c:0:b:a:cons_c:null_encArg:null_encode_c:null_encode_a:null_encode_b:null_encode_0:null_c

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

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

   0 => 0
   null_encArg => 0
   null_encode_c => 0
   null_encode_a => 0
   null_encode_b => 0
   null_encode_0 => 0
   null_c => 0

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

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

   c(z) -{ 1 }-> c(y) :|: y >= 0, x >= 0, z = 1 + (1 + (1 + y + 0) + x)
   c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   c(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   c(z) -{ 1 }-> 1 + c(c(c(c(y)))) + x :|: x >= 0, y >= 0, z = 1 + (1 + (1 + x + y))
   c(z) -{ 1 }-> 1 + 0 + c(c(1 + y + 0)) :|: z = 1 + (1 + (1 + y) + 0), y >= 0
   encArg(z) -{ 0 }-> c(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z = 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encArg(z) -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, z = 1 + x_1 + x_2, x_2 >= 0
   encode_0 -{ 0 }-> 0 :|: 
   encode_a(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_a(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_b(z, z') -{ 0 }-> 0 :|: v0 >= 0, v1 >= 0, z = v0, z' = v1
   encode_b(z, z') -{ 0 }-> 1 + encArg(x_1) + encArg(x_2) :|: x_1 >= 0, x_2 >= 0, z = x_1, z' = x_2
   encode_c(z) -{ 0 }-> c(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0

Only complete derivations are relevant for the runtime complexity.

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

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

(36)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_b(z0, z1) -> b(encArg(z0), encArg(z1))
   encode_0 -> 0
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(0) -> c3
   ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c5(C(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0, z1) -> c6(ENCARG(z0), ENCARG(z1))
   ENCODE_B(z0, z1) -> c7(ENCARG(z0), ENCARG(z1))
   ENCODE_0 -> c8
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))), C(a(z0, 0)))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))), C(a(z0, 0)))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
K tuples:none
Defined Rule Symbols:   c_1, encArg_1, encode_c_1, encode_a_2, encode_b_2, encode_0

Defined Pair Symbols:   ENCARG_1, ENCODE_C_1, ENCODE_A_2, ENCODE_B_2, ENCODE_0, C_1

Compound Symbols:   c1_2, c2_2, c3, c4_2, c5_2, c6_2, c7_2, c8, c9_4, c10_2, c11_1


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

(37) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 2 leading nodes:
   ENCODE_A(z0, z1) -> c6(ENCARG(z0), ENCARG(z1))
   ENCODE_B(z0, z1) -> c7(ENCARG(z0), ENCARG(z1))
Removed 2 trailing nodes:
   ENCODE_0 -> c8
   ENCARG(0) -> c3

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_b(z0, z1) -> b(encArg(z0), encArg(z1))
   encode_0 -> 0
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c5(C(encArg(z0)), ENCARG(z0))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))), C(a(z0, 0)))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))), C(a(z0, 0)))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
K tuples:none
Defined Rule Symbols:   c_1, encArg_1, encode_c_1, encode_a_2, encode_b_2, encode_0

Defined Pair Symbols:   ENCARG_1, ENCODE_C_1, C_1

Compound Symbols:   c1_2, c2_2, c4_2, c5_2, c9_4, c10_2, c11_1


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

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_b(z0, z1) -> b(encArg(z0), encArg(z1))
   encode_0 -> 0
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c5(C(encArg(z0)), ENCARG(z0))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   c_1, encArg_1, encode_c_1, encode_a_2, encode_b_2, encode_0

Defined Pair Symbols:   ENCARG_1, ENCODE_C_1, C_1

Compound Symbols:   c1_2, c2_2, c4_2, c5_2, c9_4, c11_1, c10_1


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_b(z0, z1) -> b(encArg(z0), encArg(z1))
   encode_0 -> 0
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
   ENCODE_C(z0) -> c3(ENCARG(z0))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   c_1, encArg_1, encode_c_1, encode_a_2, encode_b_2, encode_0

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c4_2, c9_4, c11_1, c10_1, c3_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 1 leading nodes:
   ENCODE_C(z0) -> c3(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_b(z0, z1) -> b(encArg(z0), encArg(z1))
   encode_0 -> 0
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   c_1, encArg_1, encode_c_1, encode_a_2, encode_b_2, encode_0

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c4_2, c9_4, c11_1, c10_1, c3_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_c(z0) -> c(encArg(z0))
   encode_a(z0, z1) -> a(encArg(z0), encArg(z1))
   encode_b(z0, z1) -> b(encArg(z0), encArg(z1))
   encode_0 -> 0

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c4_2, c9_4, c11_1, c10_1, c3_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(z0)) -> c4(C(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_c(a(z0, z1))) -> c4(C(a(encArg(z0), encArg(z1))), ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(C(b(encArg(z0), encArg(z1))), ENCARG(b(z0, z1)))
   ENCARG(cons_c(0)) -> c4(C(0), ENCARG(0))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(C(a(encArg(z0), encArg(z1))), ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(C(b(encArg(z0), encArg(z1))), ENCARG(b(z0, z1)))
   ENCARG(cons_c(0)) -> c4(C(0), ENCARG(0))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c9_4, c11_1, c10_1, c3_1, c4_2


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

(49) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCARG(cons_c(0)) -> c4(C(0), ENCARG(0))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(C(a(encArg(z0), encArg(z1))), ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(C(b(encArg(z0), encArg(z1))), ENCARG(b(z0, z1)))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c9_4, c11_1, c10_1, c3_1, c4_2


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

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
S tuples:
   C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c9_4, c11_1, c10_1, c3_1, c4_2, c4_1


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(z0, z1)))) -> c9(C(c(c(c(z1)))), C(c(c(z1))), C(c(z1)), C(z1)) by 
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(b(c(c(c(c(z1)))), z0)), C(c(c(a(z0, z1)))), C(c(a(z0, z1))), C(a(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(a(0, c(c(a(z0, 0)))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))), C(b(c(z0), 0)))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))), C(a(a(z0, 0), z1)))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(b(c(c(c(c(z1)))), z0)), C(c(c(a(z0, z1)))), C(c(a(z0, z1))), C(a(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(a(0, c(c(a(z0, 0)))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))), C(b(c(z0), 0)))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))), C(a(a(z0, 0), z1)))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(b(c(c(c(c(z1)))), z0)), C(c(c(a(z0, z1)))), C(c(a(z0, z1))), C(a(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(a(0, c(c(a(z0, 0)))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))), C(b(c(z0), 0)))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))), C(a(a(z0, 0), z1)))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c3_1, c4_2, c4_1, c9_4


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

(55) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 5 trailing tuple parts
----------------------------------------

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCODE_C(z0) -> c3(C(encArg(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c3_1, c4_2, c4_1, c9_4, c9_2, c9_3


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C(z0) -> c3(C(encArg(z0))) by 
   ENCODE_C(a(z0, z1)) -> c3(C(a(encArg(z0), encArg(z1))))
   ENCODE_C(b(z0, z1)) -> c3(C(b(encArg(z0), encArg(z1))))
   ENCODE_C(0) -> c3(C(0))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(a(z0, z1)) -> c3(C(a(encArg(z0), encArg(z1))))
   ENCODE_C(b(z0, z1)) -> c3(C(b(encArg(z0), encArg(z1))))
   ENCODE_C(0) -> c3(C(0))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_2, c4_1, c9_4, c9_2, c9_3, c3_1


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

(59) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing nodes:
   ENCODE_C(0) -> c3(C(0))
   ENCODE_C(b(z0, z1)) -> c3(C(b(encArg(z0), encArg(z1))))
   ENCODE_C(a(z0, z1)) -> c3(C(a(encArg(z0), encArg(z1))))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_2, c4_1, c9_4, c9_2, c9_3, c3_1


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(cons_c(z0))) -> c4(C(c(encArg(z0))), ENCARG(cons_c(z0))) by 
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(0))) -> c4(C(c(0)), ENCARG(cons_c(0)))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(0))) -> c4(C(c(0)), ENCARG(cons_c(0)))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2


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

(63) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCARG(cons_c(cons_c(0))) -> c4(C(c(0)), ENCARG(cons_c(0)))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))), C(c(a(z0, z1)))) by 
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(b(c(c(c(c(z1)))), z0)), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), a(z0, 0)))), C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(b(c(c(c(c(z1)))), z0)), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), a(z0, 0)))), C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(b(c(c(c(c(z1)))), z0)), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), a(z0, 0)))), C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2, c9_1


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

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2, c9_1


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(x0, c(c(a(z0, z1))))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(c(a(z0, z1)))))), C(c(c(c(a(z0, z1))))), C(c(c(a(z0, z1))))) by 
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(a(0, c(c(a(c(c(c(x2))), 0))))), C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(a(0, c(c(a(c(c(c(x2))), 0))))), C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(a(0, c(c(a(c(c(c(x2))), 0))))), C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2, c9_1


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

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2, c9_1


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

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(b(c(z0), 0))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0)))) by 
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(a(0, c(c(a(z0, 0)))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(a(0, c(c(a(z0, 0)))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(a(0, c(c(a(z0, 0)))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2, c9_1


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

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_4, c9_2, c9_3, c3_1, c4_2, c9_1


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(z0, 0), z1))))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1)))) by 
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(b(c(c(c(c(z1)))), z0)), C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(a(0, c(c(a(z0, 0)))))), C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(b(c(c(c(c(z1)))), z0)), C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(a(0, c(c(a(z0, 0)))))), C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(b(c(c(c(c(z1)))), z0)), C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(a(0, c(c(a(z0, 0)))))), C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c9_3, c3_1, c4_2, c9_1, c9_4


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

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c9_3, c3_1, c4_2, c9_1, c9_4


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0)))) by 
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(a(0, c(c(a(z0, 0))))), C(c(b(c(z0), 0))))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(a(0, c(c(a(z0, 0))))), C(c(b(c(z0), 0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(a(0, c(c(a(z0, 0))))), C(c(b(c(z0), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c9_3, c3_1, c4_2, c9_1, c9_4


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

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c9_3, c3_1, c4_2, c9_1, c9_4


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1)))) by 
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c3_1, c4_2, c9_1, c9_3, c9_4


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCODE_C(cons_c(z0)) -> c3(C(c(encArg(z0)))) by 
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(0)) -> c3(C(c(0)))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(0)) -> c3(C(c(0)))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1


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

(89) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 1 trailing nodes:
   ENCODE_C(cons_c(0)) -> c3(C(c(0)))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1))
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c1_2, c2_2, c11_1, c10_1, c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1


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

(91) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(a(z0, z1)) -> c1(ENCARG(z0), ENCARG(z1)) by 
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1))
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c2_2, c11_1, c10_1, c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2


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

(93) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(b(z0, z1)) -> c2(ENCARG(z0), ENCARG(z1)) by 
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))

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

(94)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
S tuples:
   C(c(a(a(z0, 0), z1))) -> c11(C(z0))
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c11_1, c10_1, c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2


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

(95) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace C(c(a(a(z0, 0), z1))) -> c11(C(z0)) by 
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))

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

(96)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
S tuples:
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))), C(c(a(a(a(a(z0, 0), z1), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))), C(c(a(a(a(z0, z1), 0), x2))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))), C(c(a(a(b(c(z0), 0), 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c10_1, c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1


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

(97) CdtRhsSimplificationProcessorProof (BOTH BOUNDS(ID, ID))
Removed 3 trailing tuple parts
----------------------------------------

(98)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
S tuples:
   C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0))))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c10_1, c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1


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

(99) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace C(c(b(c(z0), 0))) -> c10(C(c(a(z0, 0)))) by 
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))

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

(100)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1)))
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
S tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1, c10_1


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

(101) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(cons_c(a(z0, z1))) -> c4(ENCARG(a(z0, z1))) by 
   ENCARG(cons_c(a(a(y0, y1), z1))) -> c4(ENCARG(a(a(y0, y1), z1)))
   ENCARG(cons_c(a(z0, a(y1, y2)))) -> c4(ENCARG(a(z0, a(y1, y2))))
   ENCARG(cons_c(a(b(y0, y1), z1))) -> c4(ENCARG(a(b(y0, y1), z1)))
   ENCARG(cons_c(a(z0, b(y1, y2)))) -> c4(ENCARG(a(z0, b(y1, y2))))
   ENCARG(cons_c(a(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(a(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))))

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

(102)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1)))
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   ENCARG(cons_c(a(a(y0, y1), z1))) -> c4(ENCARG(a(a(y0, y1), z1)))
   ENCARG(cons_c(a(z0, a(y1, y2)))) -> c4(ENCARG(a(z0, a(y1, y2))))
   ENCARG(cons_c(a(b(y0, y1), z1))) -> c4(ENCARG(a(b(y0, y1), z1)))
   ENCARG(cons_c(a(z0, b(y1, y2)))) -> c4(ENCARG(a(z0, b(y1, y2))))
   ENCARG(cons_c(a(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(a(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))))
S tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   ENCARG_1, C_1, ENCODE_C_1

Compound Symbols:   c4_1, c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1, c10_1


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

(103) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(cons_c(b(z0, z1))) -> c4(ENCARG(b(z0, z1))) by 
   ENCARG(cons_c(b(b(y0, y1), z1))) -> c4(ENCARG(b(b(y0, y1), z1)))
   ENCARG(cons_c(b(z0, b(y1, y2)))) -> c4(ENCARG(b(z0, b(y1, y2))))
   ENCARG(cons_c(b(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(b(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(a(a(y0, y1), y2), z1))) -> c4(ENCARG(b(a(a(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(a(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(a(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, a(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, a(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, a(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, a(y2, y3)))))
   ENCARG(cons_c(b(a(b(y0, y1), y2), z1))) -> c4(ENCARG(b(a(b(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(b(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(b(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, b(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, b(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, b(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, b(y2, y3)))))
   ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(a(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(a(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(b(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(b(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(cons_c(y2)))))))

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

(104)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   ENCARG(cons_c(a(a(y0, y1), z1))) -> c4(ENCARG(a(a(y0, y1), z1)))
   ENCARG(cons_c(a(z0, a(y1, y2)))) -> c4(ENCARG(a(z0, a(y1, y2))))
   ENCARG(cons_c(a(b(y0, y1), z1))) -> c4(ENCARG(a(b(y0, y1), z1)))
   ENCARG(cons_c(a(z0, b(y1, y2)))) -> c4(ENCARG(a(z0, b(y1, y2))))
   ENCARG(cons_c(a(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(a(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(b(y0, y1), z1))) -> c4(ENCARG(b(b(y0, y1), z1)))
   ENCARG(cons_c(b(z0, b(y1, y2)))) -> c4(ENCARG(b(z0, b(y1, y2))))
   ENCARG(cons_c(b(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(b(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(a(a(y0, y1), y2), z1))) -> c4(ENCARG(b(a(a(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(a(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(a(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, a(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, a(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, a(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, a(y2, y3)))))
   ENCARG(cons_c(b(a(b(y0, y1), y2), z1))) -> c4(ENCARG(b(a(b(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(b(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(b(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, b(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, b(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, b(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, b(y2, y3)))))
   ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(a(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(a(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(b(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(b(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(cons_c(y2)))))))
S tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1, c10_1, c4_1


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

(105) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace C(c(c(a(x0, b(c(z0), 0))))) -> c9(C(c(b(c(z0), 0)))) by 
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))

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

(106)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   ENCARG(cons_c(a(a(y0, y1), z1))) -> c4(ENCARG(a(a(y0, y1), z1)))
   ENCARG(cons_c(a(z0, a(y1, y2)))) -> c4(ENCARG(a(z0, a(y1, y2))))
   ENCARG(cons_c(a(b(y0, y1), z1))) -> c4(ENCARG(a(b(y0, y1), z1)))
   ENCARG(cons_c(a(z0, b(y1, y2)))) -> c4(ENCARG(a(z0, b(y1, y2))))
   ENCARG(cons_c(a(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(a(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(b(y0, y1), z1))) -> c4(ENCARG(b(b(y0, y1), z1)))
   ENCARG(cons_c(b(z0, b(y1, y2)))) -> c4(ENCARG(b(z0, b(y1, y2))))
   ENCARG(cons_c(b(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(b(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(a(a(y0, y1), y2), z1))) -> c4(ENCARG(b(a(a(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(a(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(a(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, a(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, a(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, a(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, a(y2, y3)))))
   ENCARG(cons_c(b(a(b(y0, y1), y2), z1))) -> c4(ENCARG(b(a(b(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(b(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(b(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, b(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, b(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, b(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, b(y2, y3)))))
   ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(a(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(a(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(b(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(b(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(cons_c(y2)))))))
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))
S tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1, c10_1, c4_1


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

(107) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(a(a(y0, y1), z1)) -> c1(ENCARG(a(y0, y1)), ENCARG(z1)) by 
   ENCARG(a(a(z0, z1), cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(a(a(a(y0, y1), z1), z2)) -> c1(ENCARG(a(a(y0, y1), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(a(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(a(y0, y1), y2)))
   ENCARG(a(a(z0, a(y1, y2)), z2)) -> c1(ENCARG(a(z0, a(y1, y2))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, a(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, a(y1, y2))))
   ENCARG(a(a(b(y0, y1), z1), z2)) -> c1(ENCARG(a(b(y0, y1), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(b(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(b(y0, y1), y2)))
   ENCARG(a(a(z0, b(y1, y2)), z2)) -> c1(ENCARG(a(z0, b(y1, y2))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, b(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, b(y1, y2))))
   ENCARG(a(a(cons_c(a(y0, y1)), z1), z2)) -> c1(ENCARG(a(cons_c(a(y0, y1)), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(a(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(a(a(z0, cons_c(a(y1, y2))), z2)) -> c1(ENCARG(a(z0, cons_c(a(y1, y2)))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(a(a(cons_c(b(y0, y1)), z1), z2)) -> c1(ENCARG(a(cons_c(b(y0, y1)), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(b(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(a(a(z0, cons_c(b(y1, y2))), z2)) -> c1(ENCARG(a(z0, cons_c(b(y1, y2)))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(a(a(cons_c(cons_c(a(y0, y1))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(a(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(a(a(z0, cons_c(cons_c(a(y1, y2)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(b(y0, y1))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(b(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(a(a(z0, cons_c(cons_c(b(y1, y2)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(cons_c(y0))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(cons_c(y0))), y1))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(a(a(z0, cons_c(cons_c(cons_c(y1)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(a(z0, z1), b(b(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(b(y0, y1), y2)))
   ENCARG(a(a(z0, z1), b(y0, b(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, b(y1, y2))))
   ENCARG(a(a(z0, z1), b(cons_c(a(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(a(y0, y1)), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(a(y1, y2)))))
   ENCARG(a(a(z0, z1), b(cons_c(b(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(b(y0, y1)), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(b(y1, y2)))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(a(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(b(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(cons_c(y0))), y1))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(a(z0, z1), b(a(a(y0, y1), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(a(y0, y1), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(a(y1, y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(a(y1, y2), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, a(y1, y2)), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, a(y1, y2)), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, a(y2, y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, a(y2, y3)))))
   ENCARG(a(a(z0, z1), b(a(b(y0, y1), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(b(y0, y1), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(b(y1, y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(b(y1, y2), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, b(y1, y2)), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, b(y1, y2)), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, b(y2, y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, b(y2, y3)))))
   ENCARG(a(a(z0, z1), b(a(cons_c(a(y0, y1)), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(a(y0, y1)), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(a(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(a(y1, y2))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(a(y1, y2))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(a(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(b(y0, y1)), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(b(y0, y1)), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(b(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(b(y1, y2))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(b(y1, y2))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(b(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(a(y0, y1))), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(b(y0, y1))), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(cons_c(y0))), y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(a(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(a(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, a(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(a(b(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(b(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, b(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(a(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(a(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(b(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(b(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(a(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(a(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(a(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(b(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(b(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(b(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(cons_c(y0))), y1)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), y1))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(cons_c(y1))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(cons_c(y1)))))))
   ENCARG(a(a(z0, z1), cons_c(b(b(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(b(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, b(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(a(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(a(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(b(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(b(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(a(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(a(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(a(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(b(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(b(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(b(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(cons_c(y0))), y1)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), y1))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(cons_c(y1))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(cons_c(y1)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(a(y0, y1), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(a(y0, y1), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(a(y1, y2), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(a(y1, y2), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, a(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, a(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, a(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, a(y2, y3))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(b(y0, y1), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(b(y0, y1), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(b(y1, y2), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(b(y1, y2), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, b(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, b(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, b(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, b(y2, y3))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(a(y0, y1)), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(a(y1, y2)), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(a(y1, y2)), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(a(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(a(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(a(y2, y3)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(b(y0, y1)), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(b(y1, y2)), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(b(y1, y2)), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(b(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(b(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(b(y2, y3)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))))

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

(108)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1)))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   ENCARG(cons_c(a(a(y0, y1), z1))) -> c4(ENCARG(a(a(y0, y1), z1)))
   ENCARG(cons_c(a(z0, a(y1, y2)))) -> c4(ENCARG(a(z0, a(y1, y2))))
   ENCARG(cons_c(a(b(y0, y1), z1))) -> c4(ENCARG(a(b(y0, y1), z1)))
   ENCARG(cons_c(a(z0, b(y1, y2)))) -> c4(ENCARG(a(z0, b(y1, y2))))
   ENCARG(cons_c(a(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(a(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(b(y0, y1), z1))) -> c4(ENCARG(b(b(y0, y1), z1)))
   ENCARG(cons_c(b(z0, b(y1, y2)))) -> c4(ENCARG(b(z0, b(y1, y2))))
   ENCARG(cons_c(b(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(b(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(a(a(y0, y1), y2), z1))) -> c4(ENCARG(b(a(a(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(a(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(a(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, a(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, a(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, a(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, a(y2, y3)))))
   ENCARG(cons_c(b(a(b(y0, y1), y2), z1))) -> c4(ENCARG(b(a(b(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(b(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(b(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, b(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, b(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, b(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, b(y2, y3)))))
   ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(a(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(a(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(b(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(b(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(cons_c(y2)))))))
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(a(a(a(y0, y1), z1), z2)) -> c1(ENCARG(a(a(y0, y1), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(a(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(a(y0, y1), y2)))
   ENCARG(a(a(z0, a(y1, y2)), z2)) -> c1(ENCARG(a(z0, a(y1, y2))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, a(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, a(y1, y2))))
   ENCARG(a(a(b(y0, y1), z1), z2)) -> c1(ENCARG(a(b(y0, y1), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(b(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(b(y0, y1), y2)))
   ENCARG(a(a(z0, b(y1, y2)), z2)) -> c1(ENCARG(a(z0, b(y1, y2))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, b(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, b(y1, y2))))
   ENCARG(a(a(cons_c(a(y0, y1)), z1), z2)) -> c1(ENCARG(a(cons_c(a(y0, y1)), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(a(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(a(a(z0, cons_c(a(y1, y2))), z2)) -> c1(ENCARG(a(z0, cons_c(a(y1, y2)))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(a(a(cons_c(b(y0, y1)), z1), z2)) -> c1(ENCARG(a(cons_c(b(y0, y1)), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(b(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(a(a(z0, cons_c(b(y1, y2))), z2)) -> c1(ENCARG(a(z0, cons_c(b(y1, y2)))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(a(a(cons_c(cons_c(a(y0, y1))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(a(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(a(a(z0, cons_c(cons_c(a(y1, y2)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(b(y0, y1))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(b(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(a(a(z0, cons_c(cons_c(b(y1, y2)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(cons_c(y0))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(cons_c(y0))), y1))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(a(a(z0, cons_c(cons_c(cons_c(y1)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(a(z0, z1), b(b(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(b(y0, y1), y2)))
   ENCARG(a(a(z0, z1), b(y0, b(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, b(y1, y2))))
   ENCARG(a(a(z0, z1), b(cons_c(a(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(a(y0, y1)), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(a(y1, y2)))))
   ENCARG(a(a(z0, z1), b(cons_c(b(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(b(y0, y1)), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(b(y1, y2)))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(a(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(b(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(cons_c(y0))), y1))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(a(z0, z1), b(a(a(y0, y1), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(a(y0, y1), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(a(y1, y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(a(y1, y2), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, a(y1, y2)), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, a(y1, y2)), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, a(y2, y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, a(y2, y3)))))
   ENCARG(a(a(z0, z1), b(a(b(y0, y1), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(b(y0, y1), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(b(y1, y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(b(y1, y2), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, b(y1, y2)), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, b(y1, y2)), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, b(y2, y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, b(y2, y3)))))
   ENCARG(a(a(z0, z1), b(a(cons_c(a(y0, y1)), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(a(y0, y1)), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(a(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(a(y1, y2))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(a(y1, y2))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(a(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(b(y0, y1)), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(b(y0, y1)), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(b(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(b(y1, y2))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(b(y1, y2))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(b(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(a(y0, y1))), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(b(y0, y1))), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(cons_c(y0))), y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(a(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(a(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, a(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(a(b(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(b(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, b(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(a(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(a(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(b(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(b(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(a(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(a(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(a(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(b(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(b(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(b(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(cons_c(y0))), y1)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), y1))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(cons_c(y1))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(cons_c(y1)))))))
   ENCARG(a(a(z0, z1), cons_c(b(b(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(b(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, b(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(a(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(a(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(b(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(b(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(a(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(a(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(a(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(b(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(b(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(b(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(cons_c(y0))), y1)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), y1))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(cons_c(y1))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(cons_c(y1)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(a(y0, y1), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(a(y0, y1), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(a(y1, y2), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(a(y1, y2), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, a(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, a(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, a(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, a(y2, y3))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(b(y0, y1), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(b(y0, y1), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(b(y1, y2), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(b(y1, y2), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, b(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, b(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, b(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, b(y2, y3))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(a(y0, y1)), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(a(y1, y2)), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(a(y1, y2)), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(a(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(a(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(a(y2, y3)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(b(y0, y1)), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(b(y1, y2)), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(b(y1, y2)), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(b(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(b(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(b(y2, y3)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))))
S tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1, c10_1, c4_1


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

(109) CdtForwardInstantiationProof (BOTH BOUNDS(ID, ID))
Use forward instantiation to replace ENCARG(a(z0, a(y0, y1))) -> c1(ENCARG(z0), ENCARG(a(y0, y1))) by 
   ENCARG(a(cons_c(cons_c(a(y0, y1))), a(z1, z2))) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), a(z1, z2))) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), a(z1, z2))) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(a(z1, z2)))
   ENCARG(a(a(y0, a(y1, y2)), a(z1, z2))) -> c1(ENCARG(a(y0, a(y1, y2))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, a(y1, y2)))) -> c1(ENCARG(z0), ENCARG(a(z1, a(y1, y2))))
   ENCARG(a(a(b(y0, y1), y2), a(z1, z2))) -> c1(ENCARG(a(b(y0, y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(b(y0, y1), z2))) -> c1(ENCARG(z0), ENCARG(a(b(y0, y1), z2)))
   ENCARG(a(a(y0, b(y1, y2)), a(z1, z2))) -> c1(ENCARG(a(y0, b(y1, y2))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, b(y1, y2)))) -> c1(ENCARG(z0), ENCARG(a(z1, b(y1, y2))))
   ENCARG(a(a(cons_c(a(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(a(y0, y1)), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), z2)))
   ENCARG(a(a(y0, cons_c(a(y1, y2))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(a(y1, y2))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(a(y1, y2)))))
   ENCARG(a(a(cons_c(b(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(b(y0, y1)), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), z2)))
   ENCARG(a(a(y0, cons_c(b(y1, y2))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(b(y1, y2))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(b(y1, y2)))))
   ENCARG(a(a(cons_c(cons_c(a(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(cons_c(a(y0, y1))), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), z2)))
   ENCARG(a(a(y0, cons_c(cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(b(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(cons_c(b(y0, y1))), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), z2)))
   ENCARG(a(a(y0, cons_c(cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(cons_c(y0))), y1), a(z1, z2))) -> c1(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(cons_c(cons_c(y0))), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), z2)))
   ENCARG(a(a(y0, cons_c(cons_c(cons_c(y1)))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(b(b(y0, y1), y2), a(z1, z2))) -> c1(ENCARG(b(b(y0, y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, b(y1, y2)), a(z1, z2))) -> c1(ENCARG(b(y0, b(y1, y2))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(a(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(a(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(a(y1, y2))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(a(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(b(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(b(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(b(y1, y2))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(cons_c(a(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(cons_c(b(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(cons_c(cons_c(y0))), y1), a(z1, z2))) -> c1(ENCARG(b(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(cons_c(cons_c(y1)))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(a(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(a(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(a(y1, y2), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(a(y1, y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, a(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, a(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, a(y2, y3))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, a(y2, y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(b(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(b(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(b(y1, y2), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(b(y1, y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, b(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, b(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, b(y2, y3))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, b(y2, y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(a(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(a(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(a(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(a(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(a(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(a(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(a(y2, y3)))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(a(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(b(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(b(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(b(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(b(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(b(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(b(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(b(y2, y3)))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(b(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(cons_c(a(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(cons_c(b(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(cons_c(cons_c(y0))), y1), y2), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(a(y0, y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(a(y0, y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, a(y1, y2))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, a(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(b(y0, y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(b(y0, y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, b(y1, y2))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(a(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(a(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(b(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(b(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(cons_c(a(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(cons_c(a(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(cons_c(a(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(cons_c(b(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(cons_c(b(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(cons_c(b(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(cons_c(cons_c(y0))), y1)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), y1))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(cons_c(cons_c(y1))))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(cons_c(cons_c(y1)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(b(y0, y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(b(y0, y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, b(y1, y2))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(a(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(a(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(b(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(b(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(cons_c(a(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(cons_c(a(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(cons_c(a(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(cons_c(b(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(cons_c(b(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(cons_c(b(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(cons_c(cons_c(y0))), y1)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), y1))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(cons_c(cons_c(y1))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(cons_c(cons_c(y1)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(a(y0, y1), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(a(y0, y1), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(a(y1, y2), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(a(y1, y2), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, a(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, a(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, a(y2, y3)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, a(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(b(y0, y1), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(b(y0, y1), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(b(y1, y2), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(b(y1, y2), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, b(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, b(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, b(y2, y3)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, b(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(a(y0, y1)), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(a(y1, y2)), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(a(y1, y2)), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(a(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(a(y2, y3))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(a(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(b(y0, y1)), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(b(y1, y2)), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(b(y1, y2)), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(b(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(b(y2, y3))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(b(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))), ENCARG(a(z1, z2)))
   ENCARG(a(a(a(y0, y1), cons_c(cons_c(a(y2, y3)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(cons_c(a(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(cons_c(a(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(cons_c(a(y2, y3))))))
   ENCARG(a(a(a(y0, y1), cons_c(cons_c(b(y2, y3)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(cons_c(b(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(cons_c(b(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(cons_c(b(y2, y3))))))
   ENCARG(a(a(a(y0, y1), cons_c(cons_c(cons_c(y2)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(cons_c(cons_c(y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(cons_c(cons_c(y2)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(cons_c(cons_c(y2))))))
   ENCARG(a(a(a(a(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(a(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(a(y0, y1), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(a(y0, y1), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(a(y2, y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(a(y2, y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(a(y2, y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(a(y2, y3), y4))))
   ENCARG(a(a(a(y0, a(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, a(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, a(y1, y2)), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, a(y1, y2)), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, a(y3, y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, a(y3, y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, a(y3, y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, a(y3, y4)))))
   ENCARG(a(a(a(b(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(b(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(b(y0, y1), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(b(y0, y1), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(b(y2, y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(b(y2, y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(b(y2, y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(b(y2, y3), y4))))
   ENCARG(a(a(a(y0, b(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, b(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, b(y1, y2)), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, b(y1, y2)), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, b(y3, y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, b(y3, y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, b(y3, y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, b(y3, y4)))))
   ENCARG(a(a(a(cons_c(a(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(a(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(a(y0, y1)), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(a(y0, y1)), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(a(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(a(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(a(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(a(y2, y3)), y4))))
   ENCARG(a(a(a(y0, cons_c(a(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(a(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(a(y1, y2))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(a(y1, y2))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(a(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(a(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(a(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(a(y3, y4))))))
   ENCARG(a(a(a(cons_c(b(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(b(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(b(y0, y1)), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(b(y0, y1)), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(b(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(b(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(b(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(b(y2, y3)), y4))))
   ENCARG(a(a(a(y0, cons_c(b(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(b(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(b(y1, y2))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(b(y1, y2))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(b(y3, y4))))))
   ENCARG(a(a(a(cons_c(cons_c(a(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(cons_c(a(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(cons_c(a(y0, y1))), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(cons_c(a(y0, y1))), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4))))
   ENCARG(a(a(a(y0, cons_c(cons_c(a(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(cons_c(a(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(cons_c(a(y1, y2)))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(cons_c(a(y1, y2)))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(cons_c(cons_c(b(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(cons_c(b(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(cons_c(b(y0, y1))), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(cons_c(b(y0, y1))), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4))))
   ENCARG(a(a(a(y0, cons_c(cons_c(b(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(cons_c(b(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(cons_c(b(y1, y2)))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(cons_c(b(y1, y2)))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(cons_c(cons_c(cons_c(y0))), y1), y2), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(cons_c(cons_c(y0))), y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(cons_c(cons_c(y0))), y1), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(cons_c(cons_c(y0))), y1), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3))))
   ENCARG(a(a(a(y0, cons_c(cons_c(cons_c(y1)))), y2), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(cons_c(cons_c(y1)))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(cons_c(cons_c(y1)))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(cons_c(cons_c(y1)))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3)))))))
   ENCARG(a(a(a(y0, y1), b(b(y2, y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(b(y2, y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(b(y2, y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(b(y2, y3), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, b(y3, y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, b(y3, y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, b(y3, y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, b(y3, y4)))))
   ENCARG(a(a(a(y0, y1), b(cons_c(a(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(a(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(a(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(a(y2, y3)), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(a(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(a(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(a(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(a(y3, y4))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(b(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(b(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(b(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(b(y2, y3)), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(b(y3, y4))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3)))))))
   ENCARG(a(a(a(y0, y1), b(a(a(y2, y3), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(a(y2, y3), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(a(y2, y3), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(a(y2, y3), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(a(y3, y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(a(y3, y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(a(y3, y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(a(y3, y4), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, a(y3, y4)), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, a(y3, y4)), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, a(y3, y4)), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, a(y3, y4)), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, a(y4, y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, a(y4, y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, a(y4, y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, a(y4, y5))))))
   ENCARG(a(a(a(y0, y1), b(a(b(y2, y3), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(b(y2, y3), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(b(y2, y3), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(b(y2, y3), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(b(y3, y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(b(y3, y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(b(y3, y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(b(y3, y4), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, b(y3, y4)), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, b(y3, y4)), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, b(y3, y4)), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, b(y3, y4)), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, b(y4, y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, b(y4, y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, b(y4, y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, b(y4, y5))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(a(y2, y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(a(y2, y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(a(y2, y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(a(y2, y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, a(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, a(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, a(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, a(y3, y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(b(y2, y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(b(y2, y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(b(y2, y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(b(y2, y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, b(y3, y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(b(y2, y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(b(y2, y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(b(y2, y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(b(y2, y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, b(y3, y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))))))

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

(110)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(a(z0, z1)) -> a(encArg(z0), encArg(z1))
   encArg(b(z0, z1)) -> b(encArg(z0), encArg(z1))
   encArg(0) -> 0
   encArg(cons_c(z0)) -> c(encArg(z0))
   c(c(c(a(z0, z1)))) -> b(c(c(c(c(z1)))), z0)
   c(c(b(c(z0), 0))) -> a(0, c(c(a(z0, 0))))
   c(c(a(a(z0, 0), z1))) -> c(z0)
Tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   ENCARG(cons_c(cons_c(a(z0, z1)))) -> c4(C(c(a(encArg(z0), encArg(z1)))), ENCARG(cons_c(a(z0, z1))))
   ENCARG(cons_c(cons_c(b(z0, z1)))) -> c4(C(c(b(encArg(z0), encArg(z1)))), ENCARG(cons_c(b(z0, z1))))
   ENCARG(cons_c(cons_c(cons_c(z0)))) -> c4(C(c(c(encArg(z0)))), ENCARG(cons_c(cons_c(z0))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   ENCODE_C(cons_c(a(z0, z1))) -> c3(C(c(a(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(b(z0, z1))) -> c3(C(c(b(encArg(z0), encArg(z1)))))
   ENCODE_C(cons_c(cons_c(z0))) -> c3(C(c(c(encArg(z0)))))
   ENCARG(a(b(y0, y1), z1)) -> c1(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(a(z0, b(y0, y1))) -> c1(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(a(cons_c(a(y0, y1)), z1)) -> c1(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(a(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(a(cons_c(b(y0, y1)), z1)) -> c1(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(a(z0, cons_c(b(y0, y1)))) -> c1(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(a(z0, cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(b(y0, y1), z1)) -> c2(ENCARG(b(y0, y1)), ENCARG(z1))
   ENCARG(b(z0, b(y0, y1))) -> c2(ENCARG(z0), ENCARG(b(y0, y1)))
   ENCARG(b(cons_c(a(y0, y1)), z1)) -> c2(ENCARG(cons_c(a(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(a(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(a(y0, y1))))
   ENCARG(b(cons_c(b(y0, y1)), z1)) -> c2(ENCARG(cons_c(b(y0, y1))), ENCARG(z1))
   ENCARG(b(z0, cons_c(b(y0, y1)))) -> c2(ENCARG(z0), ENCARG(cons_c(b(y0, y1))))
   ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(a(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)) -> c2(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(b(y0, y1))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)) -> c2(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(z1))
   ENCARG(b(z0, cons_c(cons_c(cons_c(y0))))) -> c2(ENCARG(z0), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(b(a(a(y0, y1), y2), z1)) -> c2(ENCARG(a(a(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(a(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(a(y0, y1), y2)))
   ENCARG(b(a(y0, a(y1, y2)), z1)) -> c2(ENCARG(a(y0, a(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, a(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, a(y1, y2))))
   ENCARG(b(a(b(y0, y1), y2), z1)) -> c2(ENCARG(a(b(y0, y1), y2)), ENCARG(z1))
   ENCARG(b(z0, a(b(y0, y1), y2))) -> c2(ENCARG(z0), ENCARG(a(b(y0, y1), y2)))
   ENCARG(b(a(y0, b(y1, y2)), z1)) -> c2(ENCARG(a(y0, b(y1, y2))), ENCARG(z1))
   ENCARG(b(z0, a(y0, b(y1, y2)))) -> c2(ENCARG(z0), ENCARG(a(y0, b(y1, y2))))
   ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(a(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(a(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)) -> c2(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(b(y0, y1)), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)) -> c2(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(b(y1, y2))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(a(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(a(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)) -> c2(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(b(y0, y1))), y2))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(b(y1, y2)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)) -> c2(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(z1))
   ENCARG(b(z0, a(cons_c(cons_c(cons_c(y0))), y1))) -> c2(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)) -> c2(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(z1))
   ENCARG(b(z0, a(y0, cons_c(cons_c(cons_c(y1)))))) -> c2(ENCARG(z0), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   ENCARG(cons_c(a(a(y0, y1), z1))) -> c4(ENCARG(a(a(y0, y1), z1)))
   ENCARG(cons_c(a(z0, a(y1, y2)))) -> c4(ENCARG(a(z0, a(y1, y2))))
   ENCARG(cons_c(a(b(y0, y1), z1))) -> c4(ENCARG(a(b(y0, y1), z1)))
   ENCARG(cons_c(a(z0, b(y1, y2)))) -> c4(ENCARG(a(z0, b(y1, y2))))
   ENCARG(cons_c(a(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(a(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(a(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(a(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(a(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(a(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(b(y0, y1), z1))) -> c4(ENCARG(b(b(y0, y1), z1)))
   ENCARG(cons_c(b(z0, b(y1, y2)))) -> c4(ENCARG(b(z0, b(y1, y2))))
   ENCARG(cons_c(b(cons_c(a(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(a(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(a(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(a(y1, y2)))))
   ENCARG(cons_c(b(cons_c(b(y0, y1)), z1))) -> c4(ENCARG(b(cons_c(b(y0, y1)), z1)))
   ENCARG(cons_c(b(z0, cons_c(b(y1, y2))))) -> c4(ENCARG(b(z0, cons_c(b(y1, y2)))))
   ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(a(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(a(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), z1))) -> c4(ENCARG(b(cons_c(cons_c(b(y0, y1))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(b(y1, y2)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), z1))) -> c4(ENCARG(b(cons_c(cons_c(cons_c(y0))), z1)))
   ENCARG(cons_c(b(z0, cons_c(cons_c(cons_c(y1)))))) -> c4(ENCARG(b(z0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(cons_c(b(a(a(y0, y1), y2), z1))) -> c4(ENCARG(b(a(a(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(a(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(a(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, a(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, a(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, a(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, a(y2, y3)))))
   ENCARG(cons_c(b(a(b(y0, y1), y2), z1))) -> c4(ENCARG(b(a(b(y0, y1), y2), z1)))
   ENCARG(cons_c(b(z0, a(b(y1, y2), y3)))) -> c4(ENCARG(b(z0, a(b(y1, y2), y3))))
   ENCARG(cons_c(b(a(y0, b(y1, y2)), z1))) -> c4(ENCARG(b(a(y0, b(y1, y2)), z1)))
   ENCARG(cons_c(b(z0, a(y1, b(y2, y3))))) -> c4(ENCARG(b(z0, a(y1, b(y2, y3)))))
   ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(a(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(a(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(a(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(a(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), z1))) -> c4(ENCARG(b(a(cons_c(b(y0, y1)), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(b(y1, y2)), y3)))) -> c4(ENCARG(b(z0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), z1))) -> c4(ENCARG(b(a(y0, cons_c(b(y1, y2))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(b(y2, y3)))))) -> c4(ENCARG(b(z0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), z1))) -> c4(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), z1)))
   ENCARG(cons_c(b(z0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c4(ENCARG(b(z0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1))) -> c4(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), z1)))
   ENCARG(cons_c(b(z0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c4(ENCARG(b(z0, a(y1, cons_c(cons_c(cons_c(y2)))))))
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(a(y0, y1))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(a(y0, y1)))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(b(y0, y1))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(b(y0, y1)))))
   ENCARG(a(a(z0, z1), cons_c(cons_c(cons_c(y0))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(cons_c(cons_c(y0)))))
   ENCARG(a(a(a(y0, y1), z1), z2)) -> c1(ENCARG(a(a(y0, y1), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(a(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(a(y0, y1), y2)))
   ENCARG(a(a(z0, a(y1, y2)), z2)) -> c1(ENCARG(a(z0, a(y1, y2))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, a(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, a(y1, y2))))
   ENCARG(a(a(b(y0, y1), z1), z2)) -> c1(ENCARG(a(b(y0, y1), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(b(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(b(y0, y1), y2)))
   ENCARG(a(a(z0, b(y1, y2)), z2)) -> c1(ENCARG(a(z0, b(y1, y2))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, b(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, b(y1, y2))))
   ENCARG(a(a(cons_c(a(y0, y1)), z1), z2)) -> c1(ENCARG(a(cons_c(a(y0, y1)), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(a(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(a(y0, y1)), y2)))
   ENCARG(a(a(z0, cons_c(a(y1, y2))), z2)) -> c1(ENCARG(a(z0, cons_c(a(y1, y2)))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(a(y1, y2)))))
   ENCARG(a(a(cons_c(b(y0, y1)), z1), z2)) -> c1(ENCARG(a(cons_c(b(y0, y1)), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(b(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(b(y0, y1)), y2)))
   ENCARG(a(a(z0, cons_c(b(y1, y2))), z2)) -> c1(ENCARG(a(z0, cons_c(b(y1, y2)))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(b(y1, y2)))))
   ENCARG(a(a(cons_c(cons_c(a(y0, y1))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(a(y0, y1))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(a(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(a(a(z0, cons_c(cons_c(a(y1, y2)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(a(y1, y2))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(b(y0, y1))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(b(y0, y1))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(b(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(a(a(z0, cons_c(cons_c(b(y1, y2)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(b(y1, y2))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(cons_c(y0))), z1), z2)) -> c1(ENCARG(a(cons_c(cons_c(cons_c(y0))), z1)), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(cons_c(cons_c(cons_c(y0))), y1))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(a(a(z0, cons_c(cons_c(cons_c(y1)))), z2)) -> c1(ENCARG(a(z0, cons_c(cons_c(cons_c(y1))))), ENCARG(z2))
   ENCARG(a(a(z0, z1), a(y0, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(a(z0, z1), b(b(y0, y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(b(y0, y1), y2)))
   ENCARG(a(a(z0, z1), b(y0, b(y1, y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, b(y1, y2))))
   ENCARG(a(a(z0, z1), b(cons_c(a(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(a(y0, y1)), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(a(y1, y2)))))
   ENCARG(a(a(z0, z1), b(cons_c(b(y0, y1)), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(b(y0, y1)), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(b(y1, y2)))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(a(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(a(y0, y1))), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(b(y0, y1))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(b(y0, y1))), y2)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), b(cons_c(cons_c(cons_c(y0))), y1))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(cons_c(cons_c(cons_c(y0))), y1)))
   ENCARG(a(a(z0, z1), b(y0, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(a(z0, z1), b(a(a(y0, y1), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(a(y0, y1), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(a(y1, y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(a(y1, y2), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, a(y1, y2)), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, a(y1, y2)), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, a(y2, y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, a(y2, y3)))))
   ENCARG(a(a(z0, z1), b(a(b(y0, y1), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(b(y0, y1), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(b(y1, y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(b(y1, y2), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, b(y1, y2)), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, b(y1, y2)), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, b(y2, y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, b(y2, y3)))))
   ENCARG(a(a(z0, z1), b(a(cons_c(a(y0, y1)), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(a(y0, y1)), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(a(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(a(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(a(y1, y2))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(a(y1, y2))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(a(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(a(y2, y3))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(b(y0, y1)), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(b(y0, y1)), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(b(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(b(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(b(y1, y2))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(b(y1, y2))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(b(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(b(y2, y3))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(a(y0, y1))), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(b(y0, y1))), y2), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))))
   ENCARG(a(a(z0, z1), b(a(cons_c(cons_c(cons_c(y0))), y1), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)))
   ENCARG(a(a(z0, z1), b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))))
   ENCARG(a(a(z0, z1), b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)))
   ENCARG(a(a(z0, z1), b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(a(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(a(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, a(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, a(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(a(b(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(b(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, b(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(a(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(a(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(b(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(b(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(a(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(a(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(a(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(b(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(b(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(b(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(a(cons_c(cons_c(cons_c(y0))), y1)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), y1))))
   ENCARG(a(a(z0, z1), cons_c(a(y0, cons_c(cons_c(cons_c(y1))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(a(y0, cons_c(cons_c(cons_c(y1)))))))
   ENCARG(a(a(z0, z1), cons_c(b(b(y0, y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(b(y0, y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, b(y1, y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, b(y1, y2)))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(a(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(a(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(a(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(a(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(b(y0, y1)), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(b(y0, y1)), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(b(y1, y2)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(b(y1, y2))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(a(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(a(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(a(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(b(y0, y1))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(b(y1, y2))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(b(y1, y2)))))))
   ENCARG(a(a(z0, z1), cons_c(b(cons_c(cons_c(cons_c(y0))), y1)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), y1))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, cons_c(cons_c(cons_c(y1))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, cons_c(cons_c(cons_c(y1)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(a(y0, y1), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(a(y0, y1), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(a(y1, y2), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(a(y1, y2), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, a(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, a(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, a(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, a(y2, y3))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(b(y0, y1), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(b(y0, y1), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(b(y1, y2), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(b(y1, y2), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, b(y1, y2)), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, b(y1, y2)), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, b(y2, y3)))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, b(y2, y3))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(a(y0, y1)), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(a(y1, y2)), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(a(y1, y2)), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(a(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(a(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(a(y2, y3)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(b(y0, y1)), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(b(y1, y2)), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(b(y1, y2)), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(b(y1, y2))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(b(y2, y3))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(b(y2, y3)))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))))
   ENCARG(a(a(z0, z1), cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))))
   ENCARG(a(a(z0, z1), cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))))
   ENCARG(a(a(z0, z1), cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))))) -> c1(ENCARG(a(z0, z1)), ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))))
   ENCARG(a(cons_c(cons_c(a(y0, y1))), a(z1, z2))) -> c1(ENCARG(cons_c(cons_c(a(y0, y1)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(cons_c(b(y0, y1))), a(z1, z2))) -> c1(ENCARG(cons_c(cons_c(b(y0, y1)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(cons_c(cons_c(y0))), a(z1, z2))) -> c1(ENCARG(cons_c(cons_c(cons_c(y0)))), ENCARG(a(z1, z2)))
   ENCARG(a(a(y0, a(y1, y2)), a(z1, z2))) -> c1(ENCARG(a(y0, a(y1, y2))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, a(y1, y2)))) -> c1(ENCARG(z0), ENCARG(a(z1, a(y1, y2))))
   ENCARG(a(a(b(y0, y1), y2), a(z1, z2))) -> c1(ENCARG(a(b(y0, y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(b(y0, y1), z2))) -> c1(ENCARG(z0), ENCARG(a(b(y0, y1), z2)))
   ENCARG(a(a(y0, b(y1, y2)), a(z1, z2))) -> c1(ENCARG(a(y0, b(y1, y2))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, b(y1, y2)))) -> c1(ENCARG(z0), ENCARG(a(z1, b(y1, y2))))
   ENCARG(a(a(cons_c(a(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(a(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(a(y0, y1)), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(a(y0, y1)), z2)))
   ENCARG(a(a(y0, cons_c(a(y1, y2))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(a(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(a(y1, y2))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(a(y1, y2)))))
   ENCARG(a(a(cons_c(b(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(b(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(b(y0, y1)), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(b(y0, y1)), z2)))
   ENCARG(a(a(y0, cons_c(b(y1, y2))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(b(y1, y2))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(b(y1, y2)))))
   ENCARG(a(a(cons_c(cons_c(a(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(cons_c(a(y0, y1))), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(cons_c(a(y0, y1))), z2)))
   ENCARG(a(a(y0, cons_c(cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(cons_c(a(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(cons_c(a(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(b(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(a(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(cons_c(b(y0, y1))), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(cons_c(b(y0, y1))), z2)))
   ENCARG(a(a(y0, cons_c(cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(cons_c(b(y1, y2)))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(cons_c(b(y1, y2))))))
   ENCARG(a(a(cons_c(cons_c(cons_c(y0))), y1), a(z1, z2))) -> c1(ENCARG(a(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(cons_c(cons_c(cons_c(y0))), z2))) -> c1(ENCARG(z0), ENCARG(a(cons_c(cons_c(cons_c(y0))), z2)))
   ENCARG(a(a(y0, cons_c(cons_c(cons_c(y1)))), a(z1, z2))) -> c1(ENCARG(a(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(z1, cons_c(cons_c(cons_c(y1)))))) -> c1(ENCARG(z0), ENCARG(a(z1, cons_c(cons_c(cons_c(y1))))))
   ENCARG(a(b(b(y0, y1), y2), a(z1, z2))) -> c1(ENCARG(b(b(y0, y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, b(y1, y2)), a(z1, z2))) -> c1(ENCARG(b(y0, b(y1, y2))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(a(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(a(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(a(y1, y2))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(a(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(b(y0, y1)), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(b(y0, y1)), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(b(y1, y2))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(cons_c(a(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(cons_c(a(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(cons_c(b(y0, y1))), y2), a(z1, z2))) -> c1(ENCARG(b(cons_c(cons_c(b(y0, y1))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(cons_c(cons_c(cons_c(y0))), y1), a(z1, z2))) -> c1(ENCARG(b(cons_c(cons_c(cons_c(y0))), y1)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, cons_c(cons_c(cons_c(y1)))), a(z1, z2))) -> c1(ENCARG(b(y0, cons_c(cons_c(cons_c(y1))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(a(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(a(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(a(y1, y2), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(a(y1, y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, a(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, a(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, a(y2, y3))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, a(y2, y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(b(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(b(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(b(y1, y2), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(b(y1, y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, b(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, b(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, b(y2, y3))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, b(y2, y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(a(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(a(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(a(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(a(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(a(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(a(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(a(y2, y3)))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(a(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(b(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(b(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(b(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(b(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(b(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(b(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(b(y2, y3)))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(b(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(cons_c(a(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(cons_c(b(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(cons_c(cons_c(cons_c(y0))), y1), y2), a(z1, z2))) -> c1(ENCARG(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)), a(z1, z2))) -> c1(ENCARG(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2), a(z1, z2))) -> c1(ENCARG(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))), a(z1, z2))) -> c1(ENCARG(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(a(y0, y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(a(y0, y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, a(y1, y2))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, a(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(b(y0, y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(b(y0, y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, b(y1, y2))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(a(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(a(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(b(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(b(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(cons_c(a(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(cons_c(a(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(cons_c(a(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(cons_c(a(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(cons_c(b(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(cons_c(b(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(cons_c(b(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(cons_c(b(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(cons_c(cons_c(cons_c(y0))), y1)), a(z1, z2))) -> c1(ENCARG(cons_c(a(cons_c(cons_c(cons_c(y0))), y1))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(a(y0, cons_c(cons_c(cons_c(y1))))), a(z1, z2))) -> c1(ENCARG(cons_c(a(y0, cons_c(cons_c(cons_c(y1)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(b(y0, y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(b(y0, y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, b(y1, y2))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, b(y1, y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(a(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(a(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(a(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(a(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(b(y0, y1)), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(b(y0, y1)), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(b(y1, y2)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(b(y1, y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(cons_c(a(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(cons_c(a(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(cons_c(a(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(cons_c(a(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(cons_c(b(y0, y1))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(cons_c(b(y0, y1))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(cons_c(b(y1, y2))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(cons_c(b(y1, y2)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(cons_c(cons_c(cons_c(y0))), y1)), a(z1, z2))) -> c1(ENCARG(cons_c(b(cons_c(cons_c(cons_c(y0))), y1))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, cons_c(cons_c(cons_c(y1))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, cons_c(cons_c(cons_c(y1)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(a(y0, y1), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(a(y0, y1), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(a(y1, y2), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(a(y1, y2), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, a(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, a(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, a(y2, y3)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, a(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(b(y0, y1), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(b(y0, y1), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(b(y1, y2), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(b(y1, y2), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, b(y1, y2)), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, b(y1, y2)), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, b(y2, y3)))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, b(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(a(y0, y1)), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(a(y0, y1)), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(a(y1, y2)), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(a(y1, y2)), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(a(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(a(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(a(y2, y3))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(a(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(b(y0, y1)), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(b(y0, y1)), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(b(y1, y2)), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(b(y1, y2)), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(b(y1, y2))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(b(y1, y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(b(y2, y3))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(b(y2, y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(cons_c(a(y0, y1))), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(cons_c(a(y1, y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(cons_c(a(y1, y2)))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3)))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(a(y2, y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(cons_c(b(y0, y1))), y2), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(cons_c(b(y1, y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(cons_c(b(y1, y2)))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3)))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(b(y2, y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(cons_c(cons_c(cons_c(y0))), y1), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(cons_c(cons_c(cons_c(y1))), y2)))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2)), a(z1, z2))) -> c1(ENCARG(cons_c(b(a(y0, cons_c(cons_c(cons_c(y1)))), y2))), ENCARG(a(z1, z2)))
   ENCARG(a(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2)))))), a(z1, z2))) -> c1(ENCARG(cons_c(b(y0, a(y1, cons_c(cons_c(cons_c(y2))))))), ENCARG(a(z1, z2)))
   ENCARG(a(a(a(y0, y1), cons_c(cons_c(a(y2, y3)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(cons_c(a(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(cons_c(a(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(cons_c(a(y2, y3))))))
   ENCARG(a(a(a(y0, y1), cons_c(cons_c(b(y2, y3)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(cons_c(b(y2, y3))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(cons_c(b(y2, y3)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(cons_c(b(y2, y3))))))
   ENCARG(a(a(a(y0, y1), cons_c(cons_c(cons_c(y2)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(cons_c(cons_c(y2))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(cons_c(cons_c(y2)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(cons_c(cons_c(y2))))))
   ENCARG(a(a(a(a(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(a(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(a(y0, y1), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(a(y0, y1), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(a(y2, y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(a(y2, y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(a(y2, y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(a(y2, y3), y4))))
   ENCARG(a(a(a(y0, a(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, a(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, a(y1, y2)), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, a(y1, y2)), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, a(y3, y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, a(y3, y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, a(y3, y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, a(y3, y4)))))
   ENCARG(a(a(a(b(y0, y1), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(b(y0, y1), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(b(y0, y1), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(b(y0, y1), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(b(y2, y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(b(y2, y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(b(y2, y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(b(y2, y3), y4))))
   ENCARG(a(a(a(y0, b(y1, y2)), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, b(y1, y2)), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, b(y1, y2)), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, b(y1, y2)), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, b(y3, y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, b(y3, y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, b(y3, y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, b(y3, y4)))))
   ENCARG(a(a(a(cons_c(a(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(a(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(a(y0, y1)), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(a(y0, y1)), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(a(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(a(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(a(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(a(y2, y3)), y4))))
   ENCARG(a(a(a(y0, cons_c(a(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(a(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(a(y1, y2))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(a(y1, y2))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(a(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(a(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(a(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(a(y3, y4))))))
   ENCARG(a(a(a(cons_c(b(y0, y1)), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(b(y0, y1)), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(b(y0, y1)), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(b(y0, y1)), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(b(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(b(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(b(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(b(y2, y3)), y4))))
   ENCARG(a(a(a(y0, cons_c(b(y1, y2))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(b(y1, y2))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(b(y1, y2))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(b(y1, y2))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(b(y3, y4))))))
   ENCARG(a(a(a(cons_c(cons_c(a(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(cons_c(a(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(cons_c(a(y0, y1))), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(cons_c(a(y0, y1))), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(cons_c(a(y2, y3))), y4))))
   ENCARG(a(a(a(y0, cons_c(cons_c(a(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(cons_c(a(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(cons_c(a(y1, y2)))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(cons_c(a(y1, y2)))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(cons_c(cons_c(b(y0, y1))), y2), y3), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(cons_c(b(y0, y1))), y2), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(cons_c(b(y0, y1))), y2), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(cons_c(b(y0, y1))), y2), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(cons_c(b(y2, y3))), y4))))
   ENCARG(a(a(a(y0, cons_c(cons_c(b(y1, y2)))), y3), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(cons_c(b(y1, y2)))), y3)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(cons_c(b(y1, y2)))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(cons_c(b(y1, y2)))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(cons_c(cons_c(cons_c(y0))), y1), y2), a(z1, z2))) -> c1(ENCARG(a(a(cons_c(cons_c(cons_c(y0))), y1), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(cons_c(cons_c(cons_c(y0))), y1), z2))) -> c1(ENCARG(z0), ENCARG(a(a(cons_c(cons_c(cons_c(y0))), y1), z2)))
   ENCARG(a(a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(cons_c(cons_c(cons_c(y2))), y3))))
   ENCARG(a(a(a(y0, cons_c(cons_c(cons_c(y1)))), y2), a(z1, z2))) -> c1(ENCARG(a(a(y0, cons_c(cons_c(cons_c(y1)))), y2)), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, cons_c(cons_c(cons_c(y1)))), z2))) -> c1(ENCARG(z0), ENCARG(a(a(y0, cons_c(cons_c(cons_c(y1)))), z2)))
   ENCARG(a(a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), a(y2, cons_c(cons_c(cons_c(y3)))))))
   ENCARG(a(a(a(y0, y1), b(b(y2, y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(b(y2, y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(b(y2, y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(b(y2, y3), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, b(y3, y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, b(y3, y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, b(y3, y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, b(y3, y4)))))
   ENCARG(a(a(a(y0, y1), b(cons_c(a(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(a(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(a(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(a(y2, y3)), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(a(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(a(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(a(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(a(y3, y4))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(b(y2, y3)), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(b(y2, y3)), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(b(y2, y3)), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(b(y2, y3)), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(b(y3, y4))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(cons_c(a(y2, y3))), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(cons_c(b(y2, y3))), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(cons_c(cons_c(cons_c(y2))), y3))))
   ENCARG(a(a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, cons_c(cons_c(cons_c(y3)))))))
   ENCARG(a(a(a(y0, y1), b(a(a(y2, y3), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(a(y2, y3), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(a(y2, y3), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(a(y2, y3), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(a(y3, y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(a(y3, y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(a(y3, y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(a(y3, y4), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, a(y3, y4)), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, a(y3, y4)), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, a(y3, y4)), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, a(y3, y4)), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, a(y4, y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, a(y4, y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, a(y4, y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, a(y4, y5))))))
   ENCARG(a(a(a(y0, y1), b(a(b(y2, y3), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(b(y2, y3), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(b(y2, y3), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(b(y2, y3), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(b(y3, y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(b(y3, y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(b(y3, y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(b(y3, y4), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, b(y3, y4)), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, b(y3, y4)), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, b(y3, y4)), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, b(y3, y4)), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, b(y4, y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, b(y4, y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, b(y4, y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, b(y4, y5))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(a(y2, y3)), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(a(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(a(y3, y4))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(a(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(b(y2, y3)), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(b(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(b(y3, y4))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(b(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(a(y2, y3))), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(b(y2, y3))), y4), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(cons_c(cons_c(cons_c(y2))), y3), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))))
   ENCARG(a(a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))))
   ENCARG(a(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(a(y2, y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(a(y2, y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(a(y2, y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(a(y2, y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, a(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, a(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, a(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, a(y3, y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(b(y2, y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(b(y2, y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(b(y2, y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(b(y2, y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, b(y3, y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(a(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(b(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(a(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(a(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(b(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(b(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(cons_c(cons_c(cons_c(y2))), y3)))))
   ENCARG(a(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(a(y2, cons_c(cons_c(cons_c(y3))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(b(y2, y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(b(y2, y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(b(y2, y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(b(y2, y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, b(y3, y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, b(y3, y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, b(y3, y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, b(y3, y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(a(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(a(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(b(y2, y3)), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(b(y3, y4)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(a(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(a(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(b(y2, y3))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(b(y3, y4))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(cons_c(cons_c(cons_c(y2))), y3)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, cons_c(cons_c(cons_c(y3))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(a(y2, y3), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(a(y3, y4), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, a(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, a(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(b(y2, y3), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(b(y3, y4), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, b(y3, y4)), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5)))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, b(y4, y5)))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(a(y2, y3)), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(a(y3, y4)), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(a(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(a(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(b(y2, y3)), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(b(y3, y4)), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(b(y3, y4))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5)))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5)))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(b(y4, y5))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(a(y2, y3))), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(a(y3, y4))), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(a(y3, y4)))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5))))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(a(y4, y5)))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(b(y2, y3))), y4), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(b(y3, y4))), y5))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(b(y3, y4)))), y5)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5))))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(b(y4, y5)))))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(cons_c(cons_c(cons_c(y2))), y3), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4)))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(cons_c(cons_c(cons_c(y3))), y4))))))
   ENCARG(a(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(a(y2, cons_c(cons_c(cons_c(y3)))), y4)))))
   ENCARG(a(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))), a(z1, z2))) -> c1(ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))))), ENCARG(a(z1, z2)))
   ENCARG(a(z0, a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4))))))))) -> c1(ENCARG(z0), ENCARG(a(a(y0, y1), cons_c(b(y2, a(y3, cons_c(cons_c(cons_c(y4)))))))))
S tuples:
   C(c(c(a(x0, a(z0, z1))))) -> c9(C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(x1, x2)))))) -> c9(C(c(b(c(c(c(c(x2)))), x1))))
   C(c(c(a(x0, c(a(z0, z1)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(a(z0, z1)))), C(c(a(z0, z1))))
   C(c(c(a(x0, c(a(a(z0, 0), z1)))))) -> c9(C(c(c(z0))), C(c(c(a(a(z0, 0), z1)))), C(c(a(a(z0, 0), z1))))
   C(c(c(a(x0, c(c(a(x1, a(z0, z1)))))))) -> c9(C(c(c(b(c(b(c(c(c(c(z1)))), z0)), x1)))), C(c(c(c(c(a(x1, a(z0, z1))))))), C(c(c(c(a(x1, a(z0, z1)))))), C(c(c(a(x1, a(z0, z1))))))
   C(c(c(a(x0, c(c(a(x1, b(c(z0), 0)))))))) -> c9(C(c(c(b(c(c(a(0, c(c(a(z0, 0)))))), x1)))), C(c(c(c(c(a(x1, b(c(z0), 0))))))), C(c(c(c(a(x1, b(c(z0), 0)))))), C(c(c(a(x1, b(c(z0), 0))))))
   C(c(c(a(x0, c(c(a(x1, c(a(z0, z1))))))))) -> c9(C(c(c(b(c(c(b(c(c(c(c(z1)))), z0))), x1)))), C(c(c(c(c(a(x1, c(a(z0, z1)))))))), C(c(c(c(a(x1, c(a(z0, z1))))))), C(c(c(a(x1, c(a(z0, z1)))))))
   C(c(c(a(x0, c(c(a(x1, a(a(z0, 0), z1)))))))) -> c9(C(c(c(b(c(c(c(z0))), x1)))), C(c(c(c(c(a(x1, a(a(z0, 0), z1))))))), C(c(c(c(a(x1, a(a(z0, 0), z1)))))), C(c(c(a(x1, a(a(z0, 0), z1))))))
   C(c(c(a(x0, c(c(a(x1, c(b(c(z0), 0))))))))) -> c9(C(c(c(b(c(c(c(a(0, c(c(a(z0, 0))))))), x1)))), C(c(c(c(c(a(x1, c(b(c(z0), 0)))))))), C(c(c(c(a(x1, c(b(c(z0), 0))))))), C(c(c(a(x1, c(b(c(z0), 0)))))))
   C(c(c(a(x0, c(c(a(x1, c(c(a(z0, z1)))))))))) -> c9(C(c(c(b(c(c(c(b(c(c(c(c(z1)))), z0)))), x1)))), C(c(c(c(c(a(x1, c(c(a(z0, z1))))))))), C(c(c(c(a(x1, c(c(a(z0, z1)))))))), C(c(c(a(x1, c(c(a(z0, z1))))))))
   C(c(c(a(x0, c(c(a(x1, c(a(a(z0, 0), z1))))))))) -> c9(C(c(c(b(c(c(c(c(z0)))), x1)))), C(c(c(c(c(a(x1, c(a(a(z0, 0), z1)))))))), C(c(c(c(a(x1, c(a(a(z0, 0), z1))))))), C(c(c(a(x1, c(a(a(z0, 0), z1)))))))
   C(c(c(a(x0, c(c(a(x1, x2))))))) -> c9(C(c(c(c(c(a(x1, x2)))))), C(c(c(c(a(x1, x2))))))
   C(c(c(a(x0, c(c(a(0, x2))))))) -> c9(C(c(c(c(c(a(0, x2)))))), C(c(c(c(a(0, x2))))), C(c(c(a(0, x2)))))
   C(c(c(a(x0, c(b(c(x1), 0)))))) -> c9(C(c(c(a(0, c(c(a(x1, 0))))))))
   C(c(c(a(x0, c(b(c(z0), 0)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(b(c(z0), 0)))), C(c(b(c(z0), 0))))
   C(c(c(a(x0, c(a(a(c(a(z0, z1)), 0), x2)))))) -> c9(C(c(b(c(c(c(c(z1)))), z0))), C(c(c(c(a(a(c(a(z0, z1)), 0), x2))))), C(c(c(a(a(c(a(z0, z1)), 0), x2)))), C(c(a(a(c(a(z0, z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(c(a(z0, z1))), 0), x2)))))) -> c9(C(c(c(b(c(c(c(c(z1)))), z0)))), C(c(c(c(a(a(c(c(a(z0, z1))), 0), x2))))), C(c(c(a(a(c(c(a(z0, z1))), 0), x2)))), C(c(a(a(c(c(a(z0, z1))), 0), x2))))
   C(c(c(a(x0, c(a(a(c(b(c(z0), 0)), 0), x2)))))) -> c9(C(c(c(a(0, c(c(a(z0, 0))))))), C(c(c(c(a(a(c(b(c(z0), 0)), 0), x2))))), C(c(c(a(a(c(b(c(z0), 0)), 0), x2)))), C(c(a(a(c(b(c(z0), 0)), 0), x2))))
   C(c(c(a(x0, c(a(a(c(a(a(z0, 0), z1)), 0), x2)))))) -> c9(C(c(c(c(z0)))), C(c(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))), C(c(c(a(a(c(a(a(z0, 0), z1)), 0), x2)))), C(c(a(a(c(a(a(z0, 0), z1)), 0), x2))))
   C(c(c(a(x0, c(a(a(x1, 0), x2)))))) -> c9(C(c(c(c(a(a(x1, 0), x2))))), C(c(c(a(a(x1, 0), x2)))), C(c(a(a(x1, 0), x2))))
   C(c(c(a(x0, a(a(z0, 0), z1))))) -> c9(C(c(c(z0))), C(c(z0)), C(c(a(a(z0, 0), z1))))
   C(c(a(a(c(a(a(y0, 0), y1)), 0), z1))) -> c11(C(c(a(a(y0, 0), y1))))
   C(c(a(a(c(b(c(y0), 0)), 0), z1))) -> c11(C(c(b(c(y0), 0))))
   C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(y1, y2))))))
   C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(y1, y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(y1, 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(y2, y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, b(c(y2), 0)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(y2, y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3)))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3)))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3))))))))))
   C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(y1, y2))))))))
   C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), z1))) -> c11(C(c(c(a(y0, c(c(a(0, y1))))))))
   C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), z1))) -> c11(C(c(c(a(y0, c(b(c(y1), 0)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2)))))))
   C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(a(y1, y2), 0), y3)))))))
   C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), z1))) -> c11(C(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2)))))))
   C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), z1))) -> c11(C(c(c(a(y0, b(c(y1), 0))))))
   C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), z1))) -> c11(C(c(c(a(y0, a(a(y1, 0), y2))))))
   C(c(c(a(x0, c(a(a(a(a(z0, 0), z1), 0), x2)))))) -> c9(C(c(c(z0))), C(c(c(c(a(a(a(a(z0, 0), z1), 0), x2))))), C(c(c(a(a(a(a(z0, 0), z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(a(z0, z1), 0), x2)))))) -> c9(C(c(c(c(a(a(a(z0, z1), 0), x2))))), C(c(c(a(a(a(z0, z1), 0), x2)))))
   C(c(c(a(x0, c(a(a(b(c(z0), 0), 0), x2)))))) -> c9(C(c(c(c(a(a(b(c(z0), 0), 0), x2))))), C(c(c(a(a(b(c(z0), 0), 0), x2)))))
   C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))) -> c10(C(c(a(a(c(a(a(y0, 0), y1)), 0), 0))))
   C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))) -> c10(C(c(a(a(c(b(c(y0), 0)), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(y1, y2)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(y1, y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(y1, y2)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(c(a(0, y1)))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(b(c(y1), 0))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, b(c(y1), 0)))), 0), 0))))
   C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))) -> c10(C(c(a(a(c(c(a(y0, a(a(y1, 0), y2)))), 0), 0))))
   C(c(c(a(z0, b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))) -> c9(C(c(b(c(a(c(a(a(y0, 0), y1)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(b(c(y0), 0)), 0)), 0))))) -> c9(C(c(b(c(a(c(b(c(y0), 0)), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(y1, y2)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(y1, y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(y1, 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(y2, y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, b(c(y2), 0))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(y2, y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, a(a(y2, 0), y3))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(b(c(y2), 0)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(c(a(y2, y3))))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, c(a(a(y2, 0), y3)))))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(y1, y2)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(c(a(0, y1)))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(b(c(y1), 0))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(y1, y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(a(y1, 0), y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(c(a(y1, y2))), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(b(c(y1), 0)), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(c(a(a(y1, 0), y2)), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(a(y1, y2), 0), y3))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, c(a(a(b(c(y1), 0), 0), y2))))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, b(c(y1), 0)))), 0)), 0))))
   C(c(c(a(z0, b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))) -> c9(C(c(b(c(a(c(c(a(y0, a(a(y1, 0), y2)))), 0)), 0))))
K tuples:none
Defined Rule Symbols:   encArg_1, c_1

Defined Pair Symbols:   C_1, ENCARG_1, ENCODE_C_1

Compound Symbols:   c9_2, c4_2, c9_1, c9_3, c9_4, c3_1, c1_2, c2_2, c11_1, c10_1, c4_1