/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 (full) of the given DCpxTrs could be proven to be BOUNDS(1, INF).

(0) DCpxTrs
(1) DerivationalComplexityToRuntimeComplexityProof [BOTH BOUNDS(ID, ID), 0 ms]
(2) CpxRelTRS
(3) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 78 ms]
(4) CpxRelTRS
(5) RenamingProof [BOTH BOUNDS(ID, ID), 0 ms]
(6) CpxRelTRS
    (7) TypeInferenceProof [BOTH BOUNDS(ID, ID), 1 ms]
    (8) typed CpxTrs
    (9) OrderProof [LOWER BOUND(ID), 0 ms]
    (10) typed CpxTrs
    (11) RewriteLemmaProof [LOWER BOUND(ID), 528 ms]
    (12) BOUNDS(1, INF)
(13) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
(14) TRS for Loop Detection
(15) RelTrsToTrsProof [UPPER BOUND(ID), 0 ms]
(16) CpxTRS
(17) NonCtorToCtorProof [UPPER BOUND(ID), 0 ms]
(18) CpxRelTRS
    (19) RcToIrcProof [BOTH BOUNDS(ID, ID), 41 ms]
    (20) CpxRelTRS
    (21) RelTrsToWeightedTrsProof [BOTH BOUNDS(ID, ID), 0 ms]
    (22) CpxWeightedTrs
        (23) TypeInferenceProof [BOTH BOUNDS(ID, ID), 0 ms]
        (24) CpxTypedWeightedTrs
        (25) CompletionProof [UPPER BOUND(ID), 0 ms]
        (26) CpxTypedWeightedCompleteTrs
            (27) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 0 ms]
            (28) CpxRNTS
        (29) CompletionProof [UPPER BOUND(ID), 0 ms]
        (30) CpxTypedWeightedCompleteTrs
            (31) NarrowingProof [BOTH BOUNDS(ID, ID), 21 ms]
            (32) CpxTypedWeightedCompleteTrs
            (33) CpxTypedWeightedTrsToRntsProof [UPPER BOUND(ID), 9 ms]
            (34) CpxRNTS
            (35) SimplificationProof [BOTH BOUNDS(ID, ID), 21 ms]
            (36) CpxRNTS
    (37) CpxTrsToCdtProof [UPPER BOUND(ID), 6 ms]
    (38) CdtProblem
        (39) CdtLeafRemovalProof [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), 59 ms]
        (46) CdtProblem
        (47) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 16 ms]
        (48) CdtProblem
        (49) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 9 ms]
        (50) CdtProblem
        (51) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (52) CdtProblem
        (53) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15 ms]
        (54) CdtProblem
        (55) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (56) CdtProblem
        (57) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (58) CdtProblem
        (59) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 14 ms]
        (60) CdtProblem
        (61) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (62) CdtProblem
        (63) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (64) CdtProblem
        (65) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (66) CdtProblem
        (67) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 40 ms]
        (68) CdtProblem
        (69) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (70) CdtProblem
        (71) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 49 ms]
        (72) CdtProblem
        (73) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 15 ms]
        (74) CdtProblem
        (75) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 45 ms]
        (76) CdtProblem
        (77) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (78) CdtProblem
        (79) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 77 ms]
        (80) CdtProblem
        (81) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 19 ms]
        (82) CdtProblem
        (83) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 26 ms]
        (84) CdtProblem
        (85) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 0 ms]
        (86) CdtProblem
        (87) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 45 ms]
        (88) CdtProblem
        (89) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 3 ms]
        (90) CdtProblem
        (91) CdtNarrowingProof [BOTH BOUNDS(ID, ID), 96 ms]
        (92) CdtProblem


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

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


The TRS R consists of the following rules:

   a(a(b(b(x1)))) -> C(C(x1))
   b(b(c(c(x1)))) -> A(A(x1))
   c(c(a(a(x1)))) -> B(B(x1))
   A(A(C(C(x1)))) -> b(b(x1))
   C(C(B(B(x1)))) -> a(a(x1))
   B(B(A(A(x1)))) -> c(c(x1))
   a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   a(a(A(A(x1)))) -> x1
   A(A(a(a(x1)))) -> x1
   b(b(B(B(x1)))) -> x1
   B(B(b(b(x1)))) -> x1
   c(c(C(C(x1)))) -> x1
   C(C(c(c(x1)))) -> x1

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

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))


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

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


The TRS R consists of the following rules:

   a(a(b(b(x1)))) -> C(C(x1))
   b(b(c(c(x1)))) -> A(A(x1))
   c(c(a(a(x1)))) -> B(B(x1))
   A(A(C(C(x1)))) -> b(b(x1))
   C(C(B(B(x1)))) -> a(a(x1))
   B(B(A(A(x1)))) -> c(c(x1))
   a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   a(a(A(A(x1)))) -> x1
   A(A(a(a(x1)))) -> x1
   b(b(B(B(x1)))) -> x1
   B(B(b(b(x1)))) -> x1
   c(c(C(C(x1)))) -> x1
   C(C(c(c(x1)))) -> x1

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   a(a(b(b(x1)))) -> C(C(x1))
   b(b(c(c(x1)))) -> A(A(x1))
   c(c(a(a(x1)))) -> B(B(x1))
   A(A(C(C(x1)))) -> b(b(x1))
   C(C(B(B(x1)))) -> a(a(x1))
   B(B(A(A(x1)))) -> c(c(x1))
   a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   a(a(A(A(x1)))) -> x1
   A(A(a(a(x1)))) -> x1
   b(b(B(B(x1)))) -> x1
   B(B(b(b(x1)))) -> x1
   c(c(C(C(x1)))) -> x1
   C(C(c(c(x1)))) -> x1

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   a(a(b(b(x1)))) -> C(C(x1))
   b(b(c(c(x1)))) -> A(A(x1))
   c(c(a(a(x1)))) -> B(B(x1))
   A(A(C(C(x1)))) -> b(b(x1))
   C(C(B(B(x1)))) -> a(a(x1))
   B(B(A(A(x1)))) -> c(c(x1))
   a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   a(a(A(A(x1)))) -> x1
   A(A(a(a(x1)))) -> x1
   b(b(B(B(x1)))) -> x1
   B(B(b(b(x1)))) -> x1
   c(c(C(C(x1)))) -> x1
   C(C(c(c(x1)))) -> x1

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

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

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

(8)
Obligation:
TRS:
Rules:
a(a(b(b(x1)))) -> C(C(x1))
b(b(c(c(x1)))) -> A(A(x1))
c(c(a(a(x1)))) -> B(B(x1))
A(A(C(C(x1)))) -> b(b(x1))
C(C(B(B(x1)))) -> a(a(x1))
B(B(A(A(x1)))) -> c(c(x1))
a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
a(a(A(A(x1)))) -> x1
A(A(a(a(x1)))) -> x1
b(b(B(B(x1)))) -> x1
B(B(b(b(x1)))) -> x1
c(c(C(C(x1)))) -> x1
C(C(c(c(x1)))) -> x1
encArg(cons_a(x_1)) -> a(encArg(x_1))
encArg(cons_b(x_1)) -> b(encArg(x_1))
encArg(cons_c(x_1)) -> c(encArg(x_1))
encArg(cons_A(x_1)) -> A(encArg(x_1))
encArg(cons_C(x_1)) -> C(encArg(x_1))
encArg(cons_B(x_1)) -> B(encArg(x_1))
encode_a(x_1) -> a(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))
encode_C(x_1) -> C(encArg(x_1))
encode_c(x_1) -> c(encArg(x_1))
encode_A(x_1) -> A(encArg(x_1))
encode_B(x_1) -> B(encArg(x_1))

Types:
a :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
b :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
C :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
c :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
A :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
B :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encArg :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
cons_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
encode_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
hole_b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B1_0 :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
hole_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B2_0 :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0 :: Nat -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B

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

(9) OrderProof (LOWER BOUND(ID))
Heuristically decided to analyse the following defined symbols:
a, C, b, A, c, B, encArg

They will be analysed ascendingly in the following order:
a = C
a = b
a = A
a = c
a = B
a < encArg
C = b
C = A
C = c
C = B
C < encArg
b = A
b = c
b = B
b < encArg
A = c
A = B
A < encArg
c = B
c < encArg
B < encArg

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

(10)
Obligation:
TRS:
Rules:
a(a(b(b(x1)))) -> C(C(x1))
b(b(c(c(x1)))) -> A(A(x1))
c(c(a(a(x1)))) -> B(B(x1))
A(A(C(C(x1)))) -> b(b(x1))
C(C(B(B(x1)))) -> a(a(x1))
B(B(A(A(x1)))) -> c(c(x1))
a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
a(a(A(A(x1)))) -> x1
A(A(a(a(x1)))) -> x1
b(b(B(B(x1)))) -> x1
B(B(b(b(x1)))) -> x1
c(c(C(C(x1)))) -> x1
C(C(c(c(x1)))) -> x1
encArg(cons_a(x_1)) -> a(encArg(x_1))
encArg(cons_b(x_1)) -> b(encArg(x_1))
encArg(cons_c(x_1)) -> c(encArg(x_1))
encArg(cons_A(x_1)) -> A(encArg(x_1))
encArg(cons_C(x_1)) -> C(encArg(x_1))
encArg(cons_B(x_1)) -> B(encArg(x_1))
encode_a(x_1) -> a(encArg(x_1))
encode_b(x_1) -> b(encArg(x_1))
encode_C(x_1) -> C(encArg(x_1))
encode_c(x_1) -> c(encArg(x_1))
encode_A(x_1) -> A(encArg(x_1))
encode_B(x_1) -> B(encArg(x_1))

Types:
a :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
b :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
C :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
c :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
A :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
B :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encArg :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
cons_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
encode_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
encode_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
hole_b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B1_0 :: b:a:C:c:A:B:encArg:encode_a:encode_b:encode_C:encode_c:encode_A:encode_B
hole_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B2_0 :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0 :: Nat -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B


Generator Equations:
gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(0) <=> hole_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B2_0
gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(+(x, 1)) <=> cons_a(gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(x))


The following defined symbols remain to be analysed:
C, a, b, A, c, B, encArg

They will be analysed ascendingly in the following order:
a = C
a = b
a = A
a = c
a = B
a < encArg
C = b
C = A
C = c
C = B
C < encArg
b = A
b = c
b = B
b < encArg
A = c
A = B
A < encArg
c = B
c < encArg
B < encArg

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

(11) RewriteLemmaProof (LOWER BOUND(ID))
Proved the following rewrite lemma:
encArg(gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(+(1, n203_0))) -> *4_0, rt in Omega(0)

Induction Base:
encArg(gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(+(1, 0)))

Induction Step:
encArg(gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(+(1, +(n203_0, 1)))) ->_R^Omega(0)
a(encArg(gen_cons_a:cons_b:cons_c:cons_A:cons_C:cons_B3_0(+(1, n203_0)))) ->_IH
a(*4_0)

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

(12)
BOUNDS(1, INF)

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

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

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

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


The TRS R consists of the following rules:

   a(a(b(b(x1)))) -> C(C(x1))
   b(b(c(c(x1)))) -> A(A(x1))
   c(c(a(a(x1)))) -> B(B(x1))
   A(A(C(C(x1)))) -> b(b(x1))
   C(C(B(B(x1)))) -> a(a(x1))
   B(B(A(A(x1)))) -> c(c(x1))
   a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   a(a(A(A(x1)))) -> x1
   A(A(a(a(x1)))) -> x1
   b(b(B(B(x1)))) -> x1
   B(B(b(b(x1)))) -> x1
   c(c(C(C(x1)))) -> x1
   C(C(c(c(x1)))) -> x1

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   a(a(b(b(x1)))) -> C(C(x1))
   b(b(c(c(x1)))) -> A(A(x1))
   c(c(a(a(x1)))) -> B(B(x1))
   A(A(C(C(x1)))) -> b(b(x1))
   C(C(B(B(x1)))) -> a(a(x1))
   B(B(A(A(x1)))) -> c(c(x1))
   a(a(a(a(a(a(a(a(a(a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   A(A(A(A(A(A(A(A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   b(b(b(b(b(b(b(b(b(b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   B(B(B(B(B(B(B(B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   c(c(c(c(c(c(c(c(c(c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(C(C(C(C(C(C(C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(B(a(a(a(a(a(a(a(a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   A(A(A(A(A(A(b(b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   C(C(b(b(b(b(b(b(b(b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(B(B(B(B(B(c(c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(A(c(c(c(c(c(c(c(c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(C(C(C(C(C(a(a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   a(a(A(A(x1)))) -> x1
   A(A(a(a(x1)))) -> x1
   b(b(B(B(x1)))) -> x1
   B(B(b(b(x1)))) -> x1
   c(c(C(C(x1)))) -> x1
   C(C(c(c(x1)))) -> x1
   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))

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

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

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


The TRS R consists of the following rules:

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   b(c_b(c_B(c_B(x1)))) -> x1
   a(c_a(c_A(c_A(x1)))) -> x1
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(c_C(c_c(c_c(x1)))) -> x1
   C(c_C(c_B(c_B(x1)))) -> a(a(x1))
   A(c_A(c_a(c_a(x1)))) -> x1
   c(c_c(c_C(c_C(x1)))) -> x1
   A(c_A(c_C(c_C(x1)))) -> b(b(x1))
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   a(c_a(c_b(c_b(x1)))) -> C(C(x1))
   B(c_B(c_b(c_b(x1)))) -> x1
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   c(c_c(c_a(c_a(x1)))) -> B(B(x1))
   b(c_b(c_c(c_c(x1)))) -> A(A(x1))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(c_B(c_A(c_A(x1)))) -> c(c(x1))

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))
   a(x0) -> c_a(x0)
   b(x0) -> c_b(x0)
   c(x0) -> c_c(x0)
   C(x0) -> c_C(x0)
   B(x0) -> c_B(x0)
   A(x0) -> c_A(x0)

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

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

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

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


The TRS R consists of the following rules:

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1))))))))
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1))))))))))
   b(c_b(c_B(c_B(x1)))) -> x1
   a(c_a(c_A(c_A(x1)))) -> x1
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(C(x1))))))
   C(c_C(c_c(c_c(x1)))) -> x1
   C(c_C(c_B(c_B(x1)))) -> a(a(x1))
   A(c_A(c_a(c_a(x1)))) -> x1
   c(c_c(c_C(c_C(x1)))) -> x1
   A(c_A(c_C(c_C(x1)))) -> b(b(x1))
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(B(x1))))))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1))))))))))
   a(c_a(c_b(c_b(x1)))) -> C(C(x1))
   B(c_B(c_b(c_b(x1)))) -> x1
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(A(x1))))))
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(a(x1))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(b(x1))))))))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c(x1))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1))))))))
   c(c_c(c_a(c_a(x1)))) -> B(B(x1))
   b(c_b(c_c(c_c(x1)))) -> A(A(x1))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1))))))))
   B(c_B(c_A(c_A(x1)))) -> c(c(x1))

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

   encArg(cons_a(x_1)) -> a(encArg(x_1))
   encArg(cons_b(x_1)) -> b(encArg(x_1))
   encArg(cons_c(x_1)) -> c(encArg(x_1))
   encArg(cons_A(x_1)) -> A(encArg(x_1))
   encArg(cons_C(x_1)) -> C(encArg(x_1))
   encArg(cons_B(x_1)) -> B(encArg(x_1))
   encode_a(x_1) -> a(encArg(x_1))
   encode_b(x_1) -> b(encArg(x_1))
   encode_C(x_1) -> C(encArg(x_1))
   encode_c(x_1) -> c(encArg(x_1))
   encode_A(x_1) -> A(encArg(x_1))
   encode_B(x_1) -> B(encArg(x_1))
   a(x0) -> c_a(x0)
   b(x0) -> c_b(x0)
   c(x0) -> c_c(x0)
   C(x0) -> c_C(x0)
   B(x0) -> c_B(x0)
   A(x0) -> c_A(x0)

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

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

(22)
Obligation:
The Runtime Complexity (innermost) of the given CpxWeightedTrs could be proven to be BOUNDS(1, INF).


The TRS R consists of the following rules:

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1)))))))))) [1]
   b(c_b(c_B(c_B(x1)))) -> x1 [1]
   a(c_a(c_A(c_A(x1)))) -> x1 [1]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(C(x1)))))) [1]
   C(c_C(c_c(c_c(x1)))) -> x1 [1]
   C(c_C(c_B(c_B(x1)))) -> a(a(x1)) [1]
   A(c_A(c_a(c_a(x1)))) -> x1 [1]
   c(c_c(c_C(c_C(x1)))) -> x1 [1]
   A(c_A(c_C(c_C(x1)))) -> b(b(x1)) [1]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(B(x1)))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1)))))))))) [1]
   a(c_a(c_b(c_b(x1)))) -> C(C(x1)) [1]
   B(c_B(c_b(c_b(x1)))) -> x1 [1]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(A(x1)))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1)))))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(a(x1)))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(b(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c(x1)))))))) [1]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1)))))))) [1]
   c(c_c(c_a(c_a(x1)))) -> B(B(x1)) [1]
   b(c_b(c_c(c_c(x1)))) -> A(A(x1)) [1]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1)))))))) [1]
   B(c_B(c_A(c_A(x1)))) -> c(c(x1)) [1]
   encArg(cons_a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_A(x_1)) -> A(encArg(x_1)) [0]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_A(x_1) -> A(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   a(x0) -> c_a(x0) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   A(x0) -> c_A(x0) [0]

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

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

(24)
Obligation:
Runtime Complexity Weighted TRS with Types.
The TRS R consists of the following rules:

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1)))))))))) [1]
   b(c_b(c_B(c_B(x1)))) -> x1 [1]
   a(c_a(c_A(c_A(x1)))) -> x1 [1]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(C(x1)))))) [1]
   C(c_C(c_c(c_c(x1)))) -> x1 [1]
   C(c_C(c_B(c_B(x1)))) -> a(a(x1)) [1]
   A(c_A(c_a(c_a(x1)))) -> x1 [1]
   c(c_c(c_C(c_C(x1)))) -> x1 [1]
   A(c_A(c_C(c_C(x1)))) -> b(b(x1)) [1]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(B(x1)))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1)))))))))) [1]
   a(c_a(c_b(c_b(x1)))) -> C(C(x1)) [1]
   B(c_B(c_b(c_b(x1)))) -> x1 [1]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(A(x1)))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1)))))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(a(x1)))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(b(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c(x1)))))))) [1]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1)))))))) [1]
   c(c_c(c_a(c_a(x1)))) -> B(B(x1)) [1]
   b(c_b(c_c(c_c(x1)))) -> A(A(x1)) [1]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1)))))))) [1]
   B(c_B(c_A(c_A(x1)))) -> c(c(x1)) [1]
   encArg(cons_a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_A(x_1)) -> A(encArg(x_1)) [0]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_A(x_1) -> A(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   a(x0) -> c_a(x0) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   A(x0) -> c_A(x0) [0]

The TRS has the following type information:
A :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c_A :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c_c :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
b :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
C :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c_C :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c_a :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
B :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c_b :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
c_B :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
a :: c_c:c_A:c_a:c_C:c_B:c_b -> c_c:c_A:c_a:c_C:c_B:c_b
encArg :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b
cons_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
encode_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b
encode_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b
encode_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b
encode_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b
encode_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b
encode_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b

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

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

   encArg(v0) -> null_encArg [0]
   encode_a(v0) -> null_encode_a [0]
   encode_b(v0) -> null_encode_b [0]
   encode_C(v0) -> null_encode_C [0]
   encode_c(v0) -> null_encode_c [0]
   encode_A(v0) -> null_encode_A [0]
   encode_B(v0) -> null_encode_B [0]
   a(v0) -> null_a [0]
   b(v0) -> null_b [0]
   c(v0) -> null_c [0]
   C(v0) -> null_C [0]
   B(v0) -> null_B [0]
   A(v0) -> null_A [0]

And the following fresh constants:    null_encArg, null_encode_a, null_encode_b, null_encode_C, null_encode_c, null_encode_A, null_encode_B, null_a, null_b, null_c, null_C, null_B, null_A, const

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

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

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

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1)))))))))) [1]
   b(c_b(c_B(c_B(x1)))) -> x1 [1]
   a(c_a(c_A(c_A(x1)))) -> x1 [1]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(C(x1)))))) [1]
   C(c_C(c_c(c_c(x1)))) -> x1 [1]
   C(c_C(c_B(c_B(x1)))) -> a(a(x1)) [1]
   A(c_A(c_a(c_a(x1)))) -> x1 [1]
   c(c_c(c_C(c_C(x1)))) -> x1 [1]
   A(c_A(c_C(c_C(x1)))) -> b(b(x1)) [1]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(B(x1)))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1)))))))))) [1]
   a(c_a(c_b(c_b(x1)))) -> C(C(x1)) [1]
   B(c_B(c_b(c_b(x1)))) -> x1 [1]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(A(x1)))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1)))))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(a(x1)))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(b(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c(x1)))))))) [1]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1)))))))) [1]
   c(c_c(c_a(c_a(x1)))) -> B(B(x1)) [1]
   b(c_b(c_c(c_c(x1)))) -> A(A(x1)) [1]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1)))))))) [1]
   B(c_B(c_A(c_A(x1)))) -> c(c(x1)) [1]
   encArg(cons_a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_A(x_1)) -> A(encArg(x_1)) [0]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_A(x_1) -> A(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   a(x0) -> c_a(x0) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   A(x0) -> c_A(x0) [0]
   encArg(v0) -> null_encArg [0]
   encode_a(v0) -> null_encode_a [0]
   encode_b(v0) -> null_encode_b [0]
   encode_C(v0) -> null_encode_C [0]
   encode_c(v0) -> null_encode_c [0]
   encode_A(v0) -> null_encode_A [0]
   encode_B(v0) -> null_encode_B [0]
   a(v0) -> null_a [0]
   b(v0) -> null_b [0]
   c(v0) -> null_c [0]
   C(v0) -> null_C [0]
   B(v0) -> null_B [0]
   A(v0) -> null_A [0]

The TRS has the following type information:
A :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c_A :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c_c :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
b :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
C :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c_C :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c_a :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
B :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c_b :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
c_B :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
a :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
encArg :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
cons_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
encode_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
encode_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
encode_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
encode_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
encode_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
encode_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encArg :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encode_a :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encode_b :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encode_C :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encode_c :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encode_A :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_encode_B :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_a :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_b :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_c :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_C :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_B :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
null_A :: c_c:c_A:c_a:c_C:c_B:c_b:null_encArg:null_encode_a:null_encode_b:null_encode_C:null_encode_c:null_encode_A:null_encode_B:null_a:null_b:null_c:null_C:null_B:null_A
const :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B

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:

   null_encArg => 0
   null_encode_a => 0
   null_encode_b => 0
   null_encode_C => 0
   null_encode_c => 0
   null_encode_A => 0
   null_encode_B => 0
   null_a => 0
   null_b => 0
   null_c => 0
   null_C => 0
   null_B => 0
   null_A => 0
   const => 0

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

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

   A(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   A(z) -{ 1 }-> b(b(x1)) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   A(z) -{ 1 }-> b(b(C(C(C(C(C(C(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   A(z) -{ 1 }-> a(a(a(a(a(a(a(a(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   A(z) -{ 1 }-> a(a(a(a(a(a(a(a(C(C(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   A(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   A(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   B(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   B(z) -{ 1 }-> c(c(x1)) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   B(z) -{ 1 }-> c(c(A(A(A(A(A(A(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   B(z) -{ 1 }-> b(b(b(b(b(b(b(b(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   B(z) -{ 1 }-> b(b(b(b(b(b(b(b(A(A(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   B(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   C(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   C(z) -{ 1 }-> c(c(c(c(c(c(c(c(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   C(z) -{ 1 }-> c(c(c(c(c(c(c(c(B(B(x1)))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   C(z) -{ 1 }-> a(a(x1)) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   C(z) -{ 1 }-> a(a(B(B(B(B(B(B(x1)))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   C(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   a(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> C(C(x1)) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> A(A(A(A(A(A(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   b(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 1 }-> B(B(B(B(B(B(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   b(z) -{ 1 }-> A(A(x1)) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   b(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   c(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   c(z) -{ 1 }-> C(C(C(C(C(C(x1)))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   c(z) -{ 1 }-> B(B(x1)) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   c(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> c(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> b(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> a(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> C(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> B(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> A(encArg(x_1)) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_A(z) -{ 0 }-> A(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_A(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_B(z) -{ 0 }-> B(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_C(z) -{ 0 }-> C(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_a(z) -{ 0 }-> a(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> b(encArg(x_1)) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   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.

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

(29) 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_a_1
   encode_b_1
   encode_C_1
   encode_c_1
   encode_A_1
   encode_B_1
   a_1
   b_1
   c_1
   C_1
   B_1
   A_1

Due to the following rules being added:

   encArg(v0) -> const [0]
   encode_a(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_C(v0) -> const [0]
   encode_c(v0) -> const [0]
   encode_A(v0) -> const [0]
   encode_B(v0) -> const [0]
   a(v0) -> const [0]
   b(v0) -> const [0]
   c(v0) -> const [0]
   C(v0) -> const [0]
   B(v0) -> const [0]
   A(v0) -> const [0]

And the following fresh constants:    const, const1

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

(30)
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:

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(C(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(B(x1)))))))))) [1]
   b(c_b(c_B(c_B(x1)))) -> x1 [1]
   a(c_a(c_A(c_A(x1)))) -> x1 [1]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(C(x1)))))) [1]
   C(c_C(c_c(c_c(x1)))) -> x1 [1]
   C(c_C(c_B(c_B(x1)))) -> a(a(x1)) [1]
   A(c_A(c_a(c_a(x1)))) -> x1 [1]
   c(c_c(c_C(c_C(x1)))) -> x1 [1]
   A(c_A(c_C(c_C(x1)))) -> b(b(x1)) [1]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(B(x1)))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(C(x1)))))))))) [1]
   a(c_a(c_b(c_b(x1)))) -> C(C(x1)) [1]
   B(c_B(c_b(c_b(x1)))) -> x1 [1]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(A(x1)))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(A(x1)))))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(a(x1)))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(b(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c(x1)))))))) [1]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(A(x1)))))))) [1]
   c(c_c(c_a(c_a(x1)))) -> B(B(x1)) [1]
   b(c_b(c_c(c_c(x1)))) -> A(A(x1)) [1]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(B(x1)))))))) [1]
   B(c_B(c_A(c_A(x1)))) -> c(c(x1)) [1]
   encArg(cons_a(x_1)) -> a(encArg(x_1)) [0]
   encArg(cons_b(x_1)) -> b(encArg(x_1)) [0]
   encArg(cons_c(x_1)) -> c(encArg(x_1)) [0]
   encArg(cons_A(x_1)) -> A(encArg(x_1)) [0]
   encArg(cons_C(x_1)) -> C(encArg(x_1)) [0]
   encArg(cons_B(x_1)) -> B(encArg(x_1)) [0]
   encode_a(x_1) -> a(encArg(x_1)) [0]
   encode_b(x_1) -> b(encArg(x_1)) [0]
   encode_C(x_1) -> C(encArg(x_1)) [0]
   encode_c(x_1) -> c(encArg(x_1)) [0]
   encode_A(x_1) -> A(encArg(x_1)) [0]
   encode_B(x_1) -> B(encArg(x_1)) [0]
   a(x0) -> c_a(x0) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   A(x0) -> c_A(x0) [0]
   encArg(v0) -> const [0]
   encode_a(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_C(v0) -> const [0]
   encode_c(v0) -> const [0]
   encode_A(v0) -> const [0]
   encode_B(v0) -> const [0]
   a(v0) -> const [0]
   b(v0) -> const [0]
   c(v0) -> const [0]
   C(v0) -> const [0]
   B(v0) -> const [0]
   A(v0) -> const [0]

The TRS has the following type information:
A :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_A :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_c :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
b :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
C :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_C :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_a :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
B :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_b :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_B :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
a :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
encArg :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
cons_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
encode_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
const :: c_c:c_A:c_a:c_C:c_B:c_b:const
const1 :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B

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

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

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

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

   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1'))))))))))))))))) -> b(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(x1'))))))))))))))))) [2]
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(x1''))))))))))))) -> b(b(C(C(C(C(C(x1''))))))) [2]
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(x11))))))))))))) -> b(b(C(C(C(C(C(a(a(x11))))))))) [2]
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x12))))))))))))))))) -> b(b(C(C(C(C(C(c(c(c(c(c(c(c(c(x12))))))))))))))) [2]
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x13))))))))))))))))))) -> b(b(C(C(C(C(C(a(a(B(B(B(B(B(B(x13))))))))))))))) [2]
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(c_C(x1)))))))) [1]
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> b(b(C(C(C(C(C(const))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(x14))))))))))) -> c(c(c(c(c(c(c(c(B(x14))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x15))))))))))))))) -> c(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(x15))))))))))))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x16))))))))))))))) -> c(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(x16))))))))))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x17))))))))))))))))) -> c(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(x17))))))))))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(x18))))))))))) -> c(c(c(c(c(c(c(c(B(c(c(x18))))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(c_B(x1)))))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x1)))))))) -> c(c(c(c(c(c(c(c(B(const))))))))) [1]
   b(c_b(c_B(c_B(x1)))) -> x1 [1]
   a(c_a(c_A(c_A(x1)))) -> x1 [1]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x19))))))))))))))))) -> C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(x19))))))))))))))) [2]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(x110))))))))))))) -> C(C(C(C(C(x110))))) [2]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(x111))))))))))))) -> C(C(C(C(C(a(a(x111))))))) [2]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x112))))))))))))))))) -> C(C(C(C(C(c(c(c(c(c(c(c(c(x112))))))))))))) [2]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x113))))))))))))))))))) -> C(C(C(C(C(a(a(B(B(B(B(B(B(x113))))))))))))) [2]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(c_C(x1)))))) [1]
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x1)))))))))) -> C(C(C(C(C(const))))) [1]
   C(c_C(c_c(c_c(x1)))) -> x1 [1]
   C(c_C(c_B(c_B(c_a(c_A(c_A(x114))))))) -> a(x114) [2]
   C(c_C(c_B(c_B(c_a(c_b(c_b(x115))))))) -> a(C(C(x115))) [2]
   C(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x116))))))))))))) -> a(A(A(A(A(A(A(x116))))))) [2]
   C(c_C(c_B(c_B(x1)))) -> a(c_a(x1)) [1]
   C(c_C(c_B(c_B(x1)))) -> a(const) [1]
   A(c_A(c_a(c_a(x1)))) -> x1 [1]
   c(c_c(c_C(c_C(x1)))) -> x1 [1]
   A(c_A(c_C(c_C(c_b(c_B(c_B(x117))))))) -> b(x117) [2]
   A(c_A(c_C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x118))))))))))))) -> b(B(B(B(B(B(B(x118))))))) [2]
   A(c_A(c_C(c_C(c_b(c_c(c_c(x119))))))) -> b(A(A(x119))) [2]
   A(c_A(c_C(c_C(x1)))) -> b(c_b(x1)) [1]
   A(c_A(c_C(c_C(x1)))) -> b(const) [1]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(x120))))))))))))) -> B(B(B(B(B(x120))))) [2]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x121))))))))))))))))) -> B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(x121))))))))))))))) [2]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x122))))))))))))))))) -> B(B(B(B(B(b(b(b(b(b(b(b(b(x122))))))))))))) [2]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x123))))))))))))))))))) -> B(B(B(B(B(c(c(A(A(A(A(A(A(x123))))))))))))) [2]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(x124))))))))))))) -> B(B(B(B(B(c(c(x124))))))) [2]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(c_B(x1)))))) [1]
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> B(B(B(B(B(const))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x125))))))))))))))) -> a(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(B(B(x125))))))))))))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_c(c_c(x126))))))))))) -> a(a(a(a(a(a(a(a(C(x126))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_B(c_B(x127))))))))))) -> a(a(a(a(a(a(a(a(C(a(a(x127))))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x128))))))))))))))) -> a(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(x128))))))))))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x129))))))))))))))))) -> a(a(a(a(a(a(a(a(C(a(a(B(B(B(B(B(B(x129))))))))))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(c_C(x1)))))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x1)))))))) -> a(a(a(a(a(a(a(a(C(const))))))))) [1]
   a(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x130))))))))))) -> C(c(c(c(c(c(c(c(c(B(B(x130))))))))))) [2]
   a(c_a(c_b(c_b(c_C(c_c(c_c(x131))))))) -> C(x131) [2]
   a(c_a(c_b(c_b(c_C(c_B(c_B(x132))))))) -> C(a(a(x132))) [2]
   a(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x133))))))))))) -> C(c(c(c(c(c(c(c(c(x133))))))))) [2]
   a(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x134))))))))))))) -> C(a(a(B(B(B(B(B(B(x134))))))))) [2]
   a(c_a(c_b(c_b(x1)))) -> C(c_C(x1)) [1]
   a(c_a(c_b(c_b(x1)))) -> C(const) [1]
   B(c_B(c_b(c_b(x1)))) -> x1 [1]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x135))))))))))))))))))) -> A(A(A(A(A(b(b(C(C(C(C(C(C(x135))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(x136))))))))))))) -> A(A(A(A(A(x136))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(x137))))))))))))) -> A(A(A(A(A(b(b(x137))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x138))))))))))))))))) -> A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(x138))))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x139))))))))))))))))) -> A(A(A(A(A(a(a(a(a(a(a(a(a(x139))))))))))))) [2]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(c_A(x1)))))) [1]
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> A(A(A(A(A(const))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x140))))))))))))))))) -> b(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(x140))))))))))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(x141))))))))))) -> b(b(b(b(b(b(b(b(A(x141))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(x142))))))))))) -> b(b(b(b(b(b(b(b(A(b(b(x142))))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x143))))))))))))))) -> b(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(x143))))))))))))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x144))))))))))))))) -> b(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(x144))))))))))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(c_A(x1)))))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x1)))))))) -> b(b(b(b(b(b(b(b(A(const))))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(c_a(c_A(c_A(x145))))))))))) -> a(a(a(a(a(a(a(x145))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(c_a(c_b(c_b(x146))))))))))) -> a(a(a(a(a(a(a(C(C(x146))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x147))))))))))))))))) -> a(a(a(a(a(a(a(A(A(A(A(A(A(x147))))))))))))) [2]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(c_a(x1)))))))) [1]
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x1)))))))) -> a(a(a(a(a(a(a(const))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(x148))))))))))) -> b(b(b(b(b(b(b(x148))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x149))))))))))))))))) -> b(b(b(b(b(b(b(B(B(B(B(B(B(x149))))))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(x150))))))))))) -> b(b(b(b(b(b(b(A(A(x150))))))))) [2]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(c_b(x1)))))))) [1]
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x1)))))))) -> b(b(b(b(b(b(b(const))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x151))))))))))))))))) -> c(c(c(c(c(c(c(C(C(C(C(C(C(x151))))))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(x152))))))))))) -> c(c(c(c(c(c(c(x152))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(x153))))))))))) -> c(c(c(c(c(c(c(B(B(x153))))))))) [2]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(c_c(x1)))))))) [1]
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x1)))))))) -> c(c(c(c(c(c(c(const))))))) [1]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x154))))))))))))))))))) -> c(c(A(A(A(A(A(b(b(C(C(C(C(C(C(x154))))))))))))))) [2]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(x155))))))))))))) -> c(c(A(A(A(A(A(x155))))))) [2]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(x156))))))))))))) -> c(c(A(A(A(A(A(b(b(x156))))))))) [2]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x157))))))))))))))))) -> c(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(x157))))))))))))))))) [2]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x158))))))))))))))))) -> c(c(A(A(A(A(A(a(a(a(a(a(a(a(a(x158))))))))))))))) [2]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(c_A(x1)))))))) [1]
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x1)))))))))) -> c(c(A(A(A(A(A(const))))))) [1]
   c(c_c(c_a(c_a(c_B(c_b(c_b(x159))))))) -> B(x159) [2]
   c(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x160))))))))))) -> B(b(b(b(b(b(b(b(b(A(A(x160))))))))))) [2]
   c(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x161))))))))))) -> B(b(b(b(b(b(b(b(b(x161))))))))) [2]
   c(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x162))))))))))))) -> B(c(c(A(A(A(A(A(A(x162))))))))) [2]
   c(c_c(c_a(c_a(c_B(c_A(c_A(x163))))))) -> B(c(c(x163))) [2]
   c(c_c(c_a(c_a(x1)))) -> B(c_B(x1)) [1]
   c(c_c(c_a(c_a(x1)))) -> B(const) [1]
   b(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x164))))))))))))) -> A(b(b(C(C(C(C(C(C(x164))))))))) [2]
   b(c_b(c_c(c_c(c_A(c_a(c_a(x165))))))) -> A(x165) [2]
   b(c_b(c_c(c_c(c_A(c_C(c_C(x166))))))) -> A(b(b(x166))) [2]
   b(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x167))))))))))) -> A(a(a(a(a(a(a(a(a(C(C(x167))))))))))) [2]
   b(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(x168))))))))))) -> A(a(a(a(a(a(a(a(a(x168))))))))) [2]
   b(c_b(c_c(c_c(x1)))) -> A(c_A(x1)) [1]
   b(c_b(c_c(c_c(x1)))) -> A(const) [1]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(x169))))))))))))) -> a(a(B(B(B(B(B(x169))))))) [2]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x170))))))))))))))))) -> a(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(x170))))))))))))))))) [2]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x171))))))))))))))))) -> a(a(B(B(B(B(B(b(b(b(b(b(b(b(b(x171))))))))))))))) [2]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x172))))))))))))))))))) -> a(a(B(B(B(B(B(c(c(A(A(A(A(A(A(x172))))))))))))))) [2]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(x173))))))))))))) -> a(a(B(B(B(B(B(c(c(x173))))))))) [2]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(c_B(x1)))))))) [1]
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x1)))))))))) -> a(a(B(B(B(B(B(const))))))) [1]
   B(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x174))))))))))))) -> c(C(C(C(C(C(C(x174))))))) [2]
   B(c_B(c_A(c_A(c_c(c_C(c_C(x175))))))) -> c(x175) [2]
   B(c_B(c_A(c_A(c_c(c_a(c_a(x176))))))) -> c(B(B(x176))) [2]
   B(c_B(c_A(c_A(x1)))) -> c(c_c(x1)) [1]
   B(c_B(c_A(c_A(x1)))) -> c(const) [1]
   encArg(cons_a(cons_a(x_1'))) -> a(a(encArg(x_1'))) [0]
   encArg(cons_a(cons_b(x_1''))) -> a(b(encArg(x_1''))) [0]
   encArg(cons_a(cons_c(x_11))) -> a(c(encArg(x_11))) [0]
   encArg(cons_a(cons_A(x_12))) -> a(A(encArg(x_12))) [0]
   encArg(cons_a(cons_C(x_13))) -> a(C(encArg(x_13))) [0]
   encArg(cons_a(cons_B(x_14))) -> a(B(encArg(x_14))) [0]
   encArg(cons_a(x_1)) -> a(const) [0]
   encArg(cons_b(cons_a(x_15))) -> b(a(encArg(x_15))) [0]
   encArg(cons_b(cons_b(x_16))) -> b(b(encArg(x_16))) [0]
   encArg(cons_b(cons_c(x_17))) -> b(c(encArg(x_17))) [0]
   encArg(cons_b(cons_A(x_18))) -> b(A(encArg(x_18))) [0]
   encArg(cons_b(cons_C(x_19))) -> b(C(encArg(x_19))) [0]
   encArg(cons_b(cons_B(x_110))) -> b(B(encArg(x_110))) [0]
   encArg(cons_b(x_1)) -> b(const) [0]
   encArg(cons_c(cons_a(x_111))) -> c(a(encArg(x_111))) [0]
   encArg(cons_c(cons_b(x_112))) -> c(b(encArg(x_112))) [0]
   encArg(cons_c(cons_c(x_113))) -> c(c(encArg(x_113))) [0]
   encArg(cons_c(cons_A(x_114))) -> c(A(encArg(x_114))) [0]
   encArg(cons_c(cons_C(x_115))) -> c(C(encArg(x_115))) [0]
   encArg(cons_c(cons_B(x_116))) -> c(B(encArg(x_116))) [0]
   encArg(cons_c(x_1)) -> c(const) [0]
   encArg(cons_A(cons_a(x_117))) -> A(a(encArg(x_117))) [0]
   encArg(cons_A(cons_b(x_118))) -> A(b(encArg(x_118))) [0]
   encArg(cons_A(cons_c(x_119))) -> A(c(encArg(x_119))) [0]
   encArg(cons_A(cons_A(x_120))) -> A(A(encArg(x_120))) [0]
   encArg(cons_A(cons_C(x_121))) -> A(C(encArg(x_121))) [0]
   encArg(cons_A(cons_B(x_122))) -> A(B(encArg(x_122))) [0]
   encArg(cons_A(x_1)) -> A(const) [0]
   encArg(cons_C(cons_a(x_123))) -> C(a(encArg(x_123))) [0]
   encArg(cons_C(cons_b(x_124))) -> C(b(encArg(x_124))) [0]
   encArg(cons_C(cons_c(x_125))) -> C(c(encArg(x_125))) [0]
   encArg(cons_C(cons_A(x_126))) -> C(A(encArg(x_126))) [0]
   encArg(cons_C(cons_C(x_127))) -> C(C(encArg(x_127))) [0]
   encArg(cons_C(cons_B(x_128))) -> C(B(encArg(x_128))) [0]
   encArg(cons_C(x_1)) -> C(const) [0]
   encArg(cons_B(cons_a(x_129))) -> B(a(encArg(x_129))) [0]
   encArg(cons_B(cons_b(x_130))) -> B(b(encArg(x_130))) [0]
   encArg(cons_B(cons_c(x_131))) -> B(c(encArg(x_131))) [0]
   encArg(cons_B(cons_A(x_132))) -> B(A(encArg(x_132))) [0]
   encArg(cons_B(cons_C(x_133))) -> B(C(encArg(x_133))) [0]
   encArg(cons_B(cons_B(x_134))) -> B(B(encArg(x_134))) [0]
   encArg(cons_B(x_1)) -> B(const) [0]
   encode_a(cons_a(x_135)) -> a(a(encArg(x_135))) [0]
   encode_a(cons_b(x_136)) -> a(b(encArg(x_136))) [0]
   encode_a(cons_c(x_137)) -> a(c(encArg(x_137))) [0]
   encode_a(cons_A(x_138)) -> a(A(encArg(x_138))) [0]
   encode_a(cons_C(x_139)) -> a(C(encArg(x_139))) [0]
   encode_a(cons_B(x_140)) -> a(B(encArg(x_140))) [0]
   encode_a(x_1) -> a(const) [0]
   encode_b(cons_a(x_141)) -> b(a(encArg(x_141))) [0]
   encode_b(cons_b(x_142)) -> b(b(encArg(x_142))) [0]
   encode_b(cons_c(x_143)) -> b(c(encArg(x_143))) [0]
   encode_b(cons_A(x_144)) -> b(A(encArg(x_144))) [0]
   encode_b(cons_C(x_145)) -> b(C(encArg(x_145))) [0]
   encode_b(cons_B(x_146)) -> b(B(encArg(x_146))) [0]
   encode_b(x_1) -> b(const) [0]
   encode_C(cons_a(x_147)) -> C(a(encArg(x_147))) [0]
   encode_C(cons_b(x_148)) -> C(b(encArg(x_148))) [0]
   encode_C(cons_c(x_149)) -> C(c(encArg(x_149))) [0]
   encode_C(cons_A(x_150)) -> C(A(encArg(x_150))) [0]
   encode_C(cons_C(x_151)) -> C(C(encArg(x_151))) [0]
   encode_C(cons_B(x_152)) -> C(B(encArg(x_152))) [0]
   encode_C(x_1) -> C(const) [0]
   encode_c(cons_a(x_153)) -> c(a(encArg(x_153))) [0]
   encode_c(cons_b(x_154)) -> c(b(encArg(x_154))) [0]
   encode_c(cons_c(x_155)) -> c(c(encArg(x_155))) [0]
   encode_c(cons_A(x_156)) -> c(A(encArg(x_156))) [0]
   encode_c(cons_C(x_157)) -> c(C(encArg(x_157))) [0]
   encode_c(cons_B(x_158)) -> c(B(encArg(x_158))) [0]
   encode_c(x_1) -> c(const) [0]
   encode_A(cons_a(x_159)) -> A(a(encArg(x_159))) [0]
   encode_A(cons_b(x_160)) -> A(b(encArg(x_160))) [0]
   encode_A(cons_c(x_161)) -> A(c(encArg(x_161))) [0]
   encode_A(cons_A(x_162)) -> A(A(encArg(x_162))) [0]
   encode_A(cons_C(x_163)) -> A(C(encArg(x_163))) [0]
   encode_A(cons_B(x_164)) -> A(B(encArg(x_164))) [0]
   encode_A(x_1) -> A(const) [0]
   encode_B(cons_a(x_165)) -> B(a(encArg(x_165))) [0]
   encode_B(cons_b(x_166)) -> B(b(encArg(x_166))) [0]
   encode_B(cons_c(x_167)) -> B(c(encArg(x_167))) [0]
   encode_B(cons_A(x_168)) -> B(A(encArg(x_168))) [0]
   encode_B(cons_C(x_169)) -> B(C(encArg(x_169))) [0]
   encode_B(cons_B(x_170)) -> B(B(encArg(x_170))) [0]
   encode_B(x_1) -> B(const) [0]
   a(x0) -> c_a(x0) [0]
   b(x0) -> c_b(x0) [0]
   c(x0) -> c_c(x0) [0]
   C(x0) -> c_C(x0) [0]
   B(x0) -> c_B(x0) [0]
   A(x0) -> c_A(x0) [0]
   encArg(v0) -> const [0]
   encode_a(v0) -> const [0]
   encode_b(v0) -> const [0]
   encode_C(v0) -> const [0]
   encode_c(v0) -> const [0]
   encode_A(v0) -> const [0]
   encode_B(v0) -> const [0]
   a(v0) -> const [0]
   b(v0) -> const [0]
   c(v0) -> const [0]
   C(v0) -> const [0]
   B(v0) -> const [0]
   A(v0) -> const [0]

The TRS has the following type information:
A :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_A :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_c :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
b :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
C :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_C :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_a :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
B :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_b :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
c_B :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
a :: c_c:c_A:c_a:c_C:c_B:c_b:const -> c_c:c_A:c_a:c_C:c_B:c_b:const
encArg :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
cons_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
cons_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> cons_a:cons_b:cons_c:cons_A:cons_C:cons_B
encode_a :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_b :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_C :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_c :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_A :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
encode_B :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B -> c_c:c_A:c_a:c_C:c_B:c_b:const
const :: c_c:c_A:c_a:c_C:c_B:c_b:const
const1 :: cons_a:cons_b:cons_c:cons_A:cons_C:cons_B

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:

   const => 0
   const1 => 0

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

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

   A(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   A(z) -{ 2 }-> b(x117) :|: x117 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x117)))))
   A(z) -{ 2 }-> b(b(C(C(C(C(C(x1''))))))) :|: x1'' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1'')))))))))))
   A(z) -{ 2 }-> b(b(C(C(C(C(C(c(c(c(c(c(c(c(c(x12))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x12))))))))))))))), x12 >= 0
   A(z) -{ 2 }-> b(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(x1'))))))))))))))))) :|: x1' >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1')))))))))))))))
   A(z) -{ 2 }-> b(b(C(C(C(C(C(a(a(x11))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x11))))))))))), x11 >= 0
   A(z) -{ 2 }-> b(b(C(C(C(C(C(a(a(B(B(B(B(B(B(x13))))))))))))))) :|: x13 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x13)))))))))))))))))
   A(z) -{ 1 }-> b(b(C(C(C(C(C(0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   A(z) -{ 1 }-> b(b(C(C(C(C(C(1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   A(z) -{ 2 }-> b(B(B(B(B(B(B(x118))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x118))))))))))), x118 >= 0
   A(z) -{ 2 }-> b(A(A(x119))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x119))))), x119 >= 0
   A(z) -{ 1 }-> b(0) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   A(z) -{ 1 }-> b(1 + x1) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   A(z) -{ 2 }-> a(a(a(a(a(a(a(x145))))))) :|: x145 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x145)))))))))
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(x126))))))))) :|: x126 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x126)))))))))
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(x128))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x128))))))))))))), x128 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(B(B(x125))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x125))))))))))))), x125 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(a(a(x127))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x127))))))))), x127 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(a(a(B(B(B(B(B(B(x129))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x129))))))))))))))), x129 >= 0
   A(z) -{ 1 }-> a(a(a(a(a(a(a(a(C(0))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   A(z) -{ 1 }-> a(a(a(a(a(a(a(a(C(1 + x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   A(z) -{ 2 }-> a(a(a(a(a(a(a(C(C(x146))))))))) :|: x146 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x146)))))))))
   A(z) -{ 2 }-> a(a(a(a(a(a(a(A(A(A(A(A(A(x147))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x147))))))))))))))), x147 >= 0
   A(z) -{ 1 }-> a(a(a(a(a(a(a(0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   A(z) -{ 1 }-> a(a(a(a(a(a(a(1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   A(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   A(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   B(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   B(z) -{ 2 }-> c(x175) :|: x175 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x175)))))
   B(z) -{ 2 }-> c(c(A(A(A(A(A(x155))))))) :|: x155 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x155)))))))))))
   B(z) -{ 2 }-> c(c(A(A(A(A(A(b(b(x156))))))))) :|: x156 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x156)))))))))))
   B(z) -{ 2 }-> c(c(A(A(A(A(A(b(b(C(C(C(C(C(C(x154))))))))))))))) :|: x154 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x154)))))))))))))))))
   B(z) -{ 2 }-> c(c(A(A(A(A(A(a(a(a(a(a(a(a(a(x158))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x158))))))))))))))), x158 >= 0
   B(z) -{ 2 }-> c(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(x157))))))))))))))))) :|: x157 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x157)))))))))))))))
   B(z) -{ 1 }-> c(c(A(A(A(A(A(0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   B(z) -{ 1 }-> c(c(A(A(A(A(A(1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   B(z) -{ 2 }-> c(C(C(C(C(C(C(x174))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x174))))))))))), x174 >= 0
   B(z) -{ 2 }-> c(B(B(x176))) :|: x176 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x176)))))
   B(z) -{ 1 }-> c(0) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   B(z) -{ 1 }-> c(1 + x1) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   B(z) -{ 2 }-> b(b(b(b(b(b(b(x148))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x148))))))))), x148 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(x141))))))))) :|: x141 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x141)))))))))
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(b(b(x142))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x142))))))))), x142 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(x140))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x140))))))))))))))), x140 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(x144))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x144))))))))))))), x144 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(x143))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x143))))))))))))), x143 >= 0
   B(z) -{ 1 }-> b(b(b(b(b(b(b(b(A(0))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   B(z) -{ 1 }-> b(b(b(b(b(b(b(b(A(1 + x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   B(z) -{ 2 }-> b(b(b(b(b(b(b(B(B(B(B(B(B(x149))))))))))))) :|: x149 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x149)))))))))))))))
   B(z) -{ 2 }-> b(b(b(b(b(b(b(A(A(x150))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x150))))))))), x150 >= 0
   B(z) -{ 1 }-> b(b(b(b(b(b(b(0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   B(z) -{ 1 }-> b(b(b(b(b(b(b(1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   B(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   C(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   C(z) -{ 2 }-> c(c(c(c(c(c(c(x152))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x152))))))))), x152 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(x14))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x14))))))))), x14 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(c(c(x18))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x18))))))))), x18 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(x17))))))))))))))))) :|: x17 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x17)))))))))))))))
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(x16))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x16))))))))))))), x16 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(x15))))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x15))))))))))))), x15 >= 0
   C(z) -{ 1 }-> c(c(c(c(c(c(c(c(B(0))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   C(z) -{ 1 }-> c(c(c(c(c(c(c(c(B(1 + x1))))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   C(z) -{ 2 }-> c(c(c(c(c(c(c(C(C(C(C(C(C(x151))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x151))))))))))))))), x151 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(B(B(x153))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x153))))))))), x153 >= 0
   C(z) -{ 1 }-> c(c(c(c(c(c(c(0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   C(z) -{ 1 }-> c(c(c(c(c(c(c(1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))
   C(z) -{ 2 }-> a(x114) :|: x114 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x114)))))
   C(z) -{ 2 }-> a(a(B(B(B(B(B(x169))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x169))))))))))), x169 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(c(c(x173))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x173))))))))))), x173 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(c(c(A(A(A(A(A(A(x172))))))))))))))) :|: x172 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x172)))))))))))))))))
   C(z) -{ 2 }-> a(a(B(B(B(B(B(b(b(b(b(b(b(b(b(x171))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x171))))))))))))))), x171 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(x170))))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x170))))))))))))))), x170 >= 0
   C(z) -{ 1 }-> a(a(B(B(B(B(B(0))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   C(z) -{ 1 }-> a(a(B(B(B(B(B(1 + x1))))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   C(z) -{ 2 }-> a(C(C(x115))) :|: x115 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x115)))))
   C(z) -{ 2 }-> a(A(A(A(A(A(A(x116))))))) :|: x116 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x116)))))))))))
   C(z) -{ 1 }-> a(0) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   C(z) -{ 1 }-> a(1 + x1) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   C(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   a(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> C(x131) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x131))))), x131 >= 0
   a(z) -{ 2 }-> C(c(c(c(c(c(c(c(c(x133))))))))) :|: x133 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x133)))))))))
   a(z) -{ 2 }-> C(c(c(c(c(c(c(c(c(B(B(x130))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x130))))))))), x130 >= 0
   a(z) -{ 2 }-> C(a(a(x132))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x132))))), x132 >= 0
   a(z) -{ 2 }-> C(a(a(B(B(B(B(B(B(x134))))))))) :|: x134 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x134)))))))))))
   a(z) -{ 1 }-> C(0) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 1 }-> C(1 + x1) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   a(z) -{ 2 }-> A(A(A(A(A(x136))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x136))))))))))), x136 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(b(b(x137))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x137))))))))))), x137 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(b(b(C(C(C(C(C(C(x135))))))))))))) :|: x135 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x135)))))))))))))))))
   a(z) -{ 2 }-> A(A(A(A(A(a(a(a(a(a(a(a(a(x139))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x139))))))))))))))), x139 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(x138))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x138))))))))))))))), x138 >= 0
   a(z) -{ 1 }-> A(A(A(A(A(0))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   a(z) -{ 1 }-> A(A(A(A(A(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   a(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   b(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 2 }-> B(B(B(B(B(x120))))) :|: x120 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x120)))))))))))
   b(z) -{ 2 }-> B(B(B(B(B(c(c(x124))))))) :|: x124 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x124)))))))))))
   b(z) -{ 2 }-> B(B(B(B(B(c(c(A(A(A(A(A(A(x123))))))))))))) :|: x123 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x123)))))))))))))))))
   b(z) -{ 2 }-> B(B(B(B(B(b(b(b(b(b(b(b(b(x122))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x122))))))))))))))), x122 >= 0
   b(z) -{ 2 }-> B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(x121))))))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x121))))))))))))))), x121 >= 0
   b(z) -{ 1 }-> B(B(B(B(B(0))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   b(z) -{ 1 }-> B(B(B(B(B(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   b(z) -{ 2 }-> A(x165) :|: x165 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x165)))))
   b(z) -{ 2 }-> A(b(b(x166))) :|: x166 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x166)))))
   b(z) -{ 2 }-> A(b(b(C(C(C(C(C(C(x164))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x164))))))))))), x164 >= 0
   b(z) -{ 2 }-> A(a(a(a(a(a(a(a(a(x168))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x168))))))))), x168 >= 0
   b(z) -{ 2 }-> A(a(a(a(a(a(a(a(a(C(C(x167))))))))))) :|: x167 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x167)))))))))
   b(z) -{ 1 }-> A(0) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 1 }-> A(1 + x1) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   b(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   c(z) -{ 1 }-> x1 :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   c(z) -{ 2 }-> C(C(C(C(C(x110))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x110))))))))))), x110 >= 0
   c(z) -{ 2 }-> C(C(C(C(C(c(c(c(c(c(c(c(c(x112))))))))))))) :|: x112 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x112)))))))))))))))
   c(z) -{ 2 }-> C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(x19))))))))))))))) :|: x19 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x19)))))))))))))))
   c(z) -{ 2 }-> C(C(C(C(C(a(a(x111))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x111))))))))))), x111 >= 0
   c(z) -{ 2 }-> C(C(C(C(C(a(a(B(B(B(B(B(B(x113))))))))))))) :|: x113 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x113)))))))))))))))))
   c(z) -{ 1 }-> C(C(C(C(C(0))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   c(z) -{ 1 }-> C(C(C(C(C(1 + x1))))) :|: x1 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x1))))))))
   c(z) -{ 2 }-> B(x159) :|: x159 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + x159)))))
   c(z) -{ 2 }-> B(c(c(x163))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + x163))))), x163 >= 0
   c(z) -{ 2 }-> B(c(c(A(A(A(A(A(A(x162))))))))) :|: x162 >= 0, z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x162)))))))))))
   c(z) -{ 2 }-> B(b(b(b(b(b(b(b(b(x161))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x161))))))))), x161 >= 0
   c(z) -{ 2 }-> B(b(b(b(b(b(b(b(b(A(A(x160))))))))))) :|: z = 1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + (1 + x160))))))))), x160 >= 0
   c(z) -{ 1 }-> B(0) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   c(z) -{ 1 }-> B(1 + x1) :|: x1 >= 0, z = 1 + (1 + (1 + x1))
   c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   c(z) -{ 0 }-> 1 + x0 :|: z = x0, x0 >= 0
   encArg(z) -{ 0 }-> c(c(encArg(x_113))) :|: x_113 >= 0, z = 1 + (1 + x_113)
   encArg(z) -{ 0 }-> c(b(encArg(x_112))) :|: x_112 >= 0, z = 1 + (1 + x_112)
   encArg(z) -{ 0 }-> c(a(encArg(x_111))) :|: z = 1 + (1 + x_111), x_111 >= 0
   encArg(z) -{ 0 }-> c(C(encArg(x_115))) :|: z = 1 + (1 + x_115), x_115 >= 0
   encArg(z) -{ 0 }-> c(B(encArg(x_116))) :|: z = 1 + (1 + x_116), x_116 >= 0
   encArg(z) -{ 0 }-> c(A(encArg(x_114))) :|: z = 1 + (1 + x_114), x_114 >= 0
   encArg(z) -{ 0 }-> c(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> b(c(encArg(x_17))) :|: x_17 >= 0, z = 1 + (1 + x_17)
   encArg(z) -{ 0 }-> b(b(encArg(x_16))) :|: x_16 >= 0, z = 1 + (1 + x_16)
   encArg(z) -{ 0 }-> b(a(encArg(x_15))) :|: x_15 >= 0, z = 1 + (1 + x_15)
   encArg(z) -{ 0 }-> b(C(encArg(x_19))) :|: z = 1 + (1 + x_19), x_19 >= 0
   encArg(z) -{ 0 }-> b(B(encArg(x_110))) :|: z = 1 + (1 + x_110), x_110 >= 0
   encArg(z) -{ 0 }-> b(A(encArg(x_18))) :|: z = 1 + (1 + x_18), x_18 >= 0
   encArg(z) -{ 0 }-> b(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> a(c(encArg(x_11))) :|: x_11 >= 0, z = 1 + (1 + x_11)
   encArg(z) -{ 0 }-> a(b(encArg(x_1''))) :|: z = 1 + (1 + x_1''), x_1'' >= 0
   encArg(z) -{ 0 }-> a(a(encArg(x_1'))) :|: z = 1 + (1 + x_1'), x_1' >= 0
   encArg(z) -{ 0 }-> a(C(encArg(x_13))) :|: z = 1 + (1 + x_13), x_13 >= 0
   encArg(z) -{ 0 }-> a(B(encArg(x_14))) :|: x_14 >= 0, z = 1 + (1 + x_14)
   encArg(z) -{ 0 }-> a(A(encArg(x_12))) :|: z = 1 + (1 + x_12), x_12 >= 0
   encArg(z) -{ 0 }-> a(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> C(c(encArg(x_125))) :|: z = 1 + (1 + x_125), x_125 >= 0
   encArg(z) -{ 0 }-> C(b(encArg(x_124))) :|: x_124 >= 0, z = 1 + (1 + x_124)
   encArg(z) -{ 0 }-> C(a(encArg(x_123))) :|: x_123 >= 0, z = 1 + (1 + x_123)
   encArg(z) -{ 0 }-> C(C(encArg(x_127))) :|: z = 1 + (1 + x_127), x_127 >= 0
   encArg(z) -{ 0 }-> C(B(encArg(x_128))) :|: x_128 >= 0, z = 1 + (1 + x_128)
   encArg(z) -{ 0 }-> C(A(encArg(x_126))) :|: z = 1 + (1 + x_126), x_126 >= 0
   encArg(z) -{ 0 }-> C(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> B(c(encArg(x_131))) :|: z = 1 + (1 + x_131), x_131 >= 0
   encArg(z) -{ 0 }-> B(b(encArg(x_130))) :|: x_130 >= 0, z = 1 + (1 + x_130)
   encArg(z) -{ 0 }-> B(a(encArg(x_129))) :|: z = 1 + (1 + x_129), x_129 >= 0
   encArg(z) -{ 0 }-> B(C(encArg(x_133))) :|: z = 1 + (1 + x_133), x_133 >= 0
   encArg(z) -{ 0 }-> B(B(encArg(x_134))) :|: z = 1 + (1 + x_134), x_134 >= 0
   encArg(z) -{ 0 }-> B(A(encArg(x_132))) :|: x_132 >= 0, z = 1 + (1 + x_132)
   encArg(z) -{ 0 }-> B(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> A(c(encArg(x_119))) :|: z = 1 + (1 + x_119), x_119 >= 0
   encArg(z) -{ 0 }-> A(b(encArg(x_118))) :|: z = 1 + (1 + x_118), x_118 >= 0
   encArg(z) -{ 0 }-> A(a(encArg(x_117))) :|: z = 1 + (1 + x_117), x_117 >= 0
   encArg(z) -{ 0 }-> A(C(encArg(x_121))) :|: z = 1 + (1 + x_121), x_121 >= 0
   encArg(z) -{ 0 }-> A(B(encArg(x_122))) :|: x_122 >= 0, z = 1 + (1 + x_122)
   encArg(z) -{ 0 }-> A(A(encArg(x_120))) :|: x_120 >= 0, z = 1 + (1 + x_120)
   encArg(z) -{ 0 }-> A(0) :|: z = 1 + x_1, x_1 >= 0
   encArg(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_A(z) -{ 0 }-> A(c(encArg(x_161))) :|: z = 1 + x_161, x_161 >= 0
   encode_A(z) -{ 0 }-> A(b(encArg(x_160))) :|: x_160 >= 0, z = 1 + x_160
   encode_A(z) -{ 0 }-> A(a(encArg(x_159))) :|: x_159 >= 0, z = 1 + x_159
   encode_A(z) -{ 0 }-> A(C(encArg(x_163))) :|: z = 1 + x_163, x_163 >= 0
   encode_A(z) -{ 0 }-> A(B(encArg(x_164))) :|: z = 1 + x_164, x_164 >= 0
   encode_A(z) -{ 0 }-> A(A(encArg(x_162))) :|: x_162 >= 0, z = 1 + x_162
   encode_A(z) -{ 0 }-> A(0) :|: x_1 >= 0, z = x_1
   encode_A(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_B(z) -{ 0 }-> B(c(encArg(x_167))) :|: z = 1 + x_167, x_167 >= 0
   encode_B(z) -{ 0 }-> B(b(encArg(x_166))) :|: z = 1 + x_166, x_166 >= 0
   encode_B(z) -{ 0 }-> B(a(encArg(x_165))) :|: z = 1 + x_165, x_165 >= 0
   encode_B(z) -{ 0 }-> B(C(encArg(x_169))) :|: z = 1 + x_169, x_169 >= 0
   encode_B(z) -{ 0 }-> B(B(encArg(x_170))) :|: z = 1 + x_170, x_170 >= 0
   encode_B(z) -{ 0 }-> B(A(encArg(x_168))) :|: z = 1 + x_168, x_168 >= 0
   encode_B(z) -{ 0 }-> B(0) :|: x_1 >= 0, z = x_1
   encode_B(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_C(z) -{ 0 }-> C(c(encArg(x_149))) :|: z = 1 + x_149, x_149 >= 0
   encode_C(z) -{ 0 }-> C(b(encArg(x_148))) :|: z = 1 + x_148, x_148 >= 0
   encode_C(z) -{ 0 }-> C(a(encArg(x_147))) :|: z = 1 + x_147, x_147 >= 0
   encode_C(z) -{ 0 }-> C(C(encArg(x_151))) :|: z = 1 + x_151, x_151 >= 0
   encode_C(z) -{ 0 }-> C(B(encArg(x_152))) :|: z = 1 + x_152, x_152 >= 0
   encode_C(z) -{ 0 }-> C(A(encArg(x_150))) :|: z = 1 + x_150, x_150 >= 0
   encode_C(z) -{ 0 }-> C(0) :|: x_1 >= 0, z = x_1
   encode_C(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_a(z) -{ 0 }-> a(c(encArg(x_137))) :|: z = 1 + x_137, x_137 >= 0
   encode_a(z) -{ 0 }-> a(b(encArg(x_136))) :|: x_136 >= 0, z = 1 + x_136
   encode_a(z) -{ 0 }-> a(a(encArg(x_135))) :|: z = 1 + x_135, x_135 >= 0
   encode_a(z) -{ 0 }-> a(C(encArg(x_139))) :|: z = 1 + x_139, x_139 >= 0
   encode_a(z) -{ 0 }-> a(B(encArg(x_140))) :|: z = 1 + x_140, x_140 >= 0
   encode_a(z) -{ 0 }-> a(A(encArg(x_138))) :|: x_138 >= 0, z = 1 + x_138
   encode_a(z) -{ 0 }-> a(0) :|: x_1 >= 0, z = x_1
   encode_a(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_b(z) -{ 0 }-> b(c(encArg(x_143))) :|: x_143 >= 0, z = 1 + x_143
   encode_b(z) -{ 0 }-> b(b(encArg(x_142))) :|: z = 1 + x_142, x_142 >= 0
   encode_b(z) -{ 0 }-> b(a(encArg(x_141))) :|: z = 1 + x_141, x_141 >= 0
   encode_b(z) -{ 0 }-> b(C(encArg(x_145))) :|: x_145 >= 0, z = 1 + x_145
   encode_b(z) -{ 0 }-> b(B(encArg(x_146))) :|: x_146 >= 0, z = 1 + x_146
   encode_b(z) -{ 0 }-> b(A(encArg(x_144))) :|: x_144 >= 0, z = 1 + x_144
   encode_b(z) -{ 0 }-> b(0) :|: x_1 >= 0, z = x_1
   encode_b(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0
   encode_c(z) -{ 0 }-> c(c(encArg(x_155))) :|: x_155 >= 0, z = 1 + x_155
   encode_c(z) -{ 0 }-> c(b(encArg(x_154))) :|: x_154 >= 0, z = 1 + x_154
   encode_c(z) -{ 0 }-> c(a(encArg(x_153))) :|: x_153 >= 0, z = 1 + x_153
   encode_c(z) -{ 0 }-> c(C(encArg(x_157))) :|: z = 1 + x_157, x_157 >= 0
   encode_c(z) -{ 0 }-> c(B(encArg(x_158))) :|: z = 1 + x_158, x_158 >= 0
   encode_c(z) -{ 0 }-> c(A(encArg(x_156))) :|: x_156 >= 0, z = 1 + x_156
   encode_c(z) -{ 0 }-> c(0) :|: x_1 >= 0, z = x_1
   encode_c(z) -{ 0 }-> 0 :|: v0 >= 0, z = v0


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

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

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

   A(z) -{ 2 }-> b(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z - 16))))))))))))))))) :|: z - 16 >= 0
   A(z) -{ 2 }-> b(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z - 16))))))))))))))) :|: z - 16 >= 0
   A(z) -{ 2 }-> b(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z - 18))))))))))))))) :|: z - 18 >= 0
   A(z) -{ 2 }-> b(b(C(C(C(C(C(a(a(z - 12))))))))) :|: z - 12 >= 0
   A(z) -{ 1 }-> b(b(C(C(C(C(C(0))))))) :|: z - 9 >= 0
   A(z) -{ 2 }-> b(b(C(C(C(C(C(z - 12))))))) :|: z - 12 >= 0
   A(z) -{ 1 }-> b(b(C(C(C(C(C(1 + (z - 9)))))))) :|: z - 9 >= 0
   A(z) -{ 2 }-> b(B(B(B(B(B(B(z - 12))))))) :|: z - 12 >= 0
   A(z) -{ 2 }-> b(A(A(z - 6))) :|: z - 6 >= 0
   A(z) -{ 1 }-> b(0) :|: z - 3 >= 0
   A(z) -{ 2 }-> b(z - 6) :|: z - 6 >= 0
   A(z) -{ 1 }-> b(1 + (z - 3)) :|: z - 3 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(B(B(z - 14))))))))))))))))))) :|: z - 14 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(z - 14))))))))))))))))) :|: z - 14 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(a(a(B(B(B(B(B(B(z - 16))))))))))))))))) :|: z - 16 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(a(a(z - 10))))))))))) :|: z - 10 >= 0
   A(z) -{ 1 }-> a(a(a(a(a(a(a(a(C(0))))))))) :|: z - 7 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(a(C(z - 10))))))))) :|: z - 10 >= 0
   A(z) -{ 1 }-> a(a(a(a(a(a(a(a(C(1 + (z - 7)))))))))) :|: z - 7 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(C(C(z - 10))))))))) :|: z - 10 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(A(A(A(A(A(A(z - 16))))))))))))) :|: z - 16 >= 0
   A(z) -{ 1 }-> a(a(a(a(a(a(a(0))))))) :|: z - 7 >= 0
   A(z) -{ 2 }-> a(a(a(a(a(a(a(z - 10))))))) :|: z - 10 >= 0
   A(z) -{ 1 }-> a(a(a(a(a(a(a(1 + (z - 7)))))))) :|: z - 7 >= 0
   A(z) -{ 0 }-> 0 :|: z >= 0
   A(z) -{ 1 }-> z - 3 :|: z - 3 >= 0
   A(z) -{ 0 }-> 1 + z :|: z >= 0
   B(z) -{ 2 }-> c(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z - 18))))))))))))))) :|: z - 18 >= 0
   B(z) -{ 2 }-> c(c(A(A(A(A(A(b(b(z - 12))))))))) :|: z - 12 >= 0
   B(z) -{ 2 }-> c(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z - 16))))))))))))))))) :|: z - 16 >= 0
   B(z) -{ 2 }-> c(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z - 16))))))))))))))) :|: z - 16 >= 0
   B(z) -{ 1 }-> c(c(A(A(A(A(A(0))))))) :|: z - 9 >= 0
   B(z) -{ 2 }-> c(c(A(A(A(A(A(z - 12))))))) :|: z - 12 >= 0
   B(z) -{ 1 }-> c(c(A(A(A(A(A(1 + (z - 9)))))))) :|: z - 9 >= 0
   B(z) -{ 2 }-> c(C(C(C(C(C(C(z - 12))))))) :|: z - 12 >= 0
   B(z) -{ 2 }-> c(B(B(z - 6))) :|: z - 6 >= 0
   B(z) -{ 1 }-> c(0) :|: z - 3 >= 0
   B(z) -{ 2 }-> c(z - 6) :|: z - 6 >= 0
   B(z) -{ 1 }-> c(1 + (z - 3)) :|: z - 3 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z - 16))))))))))))))))) :|: z - 16 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(b(b(z - 10))))))))))) :|: z - 10 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z - 14))))))))))))))))))) :|: z - 14 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z - 14))))))))))))))))) :|: z - 14 >= 0
   B(z) -{ 1 }-> b(b(b(b(b(b(b(b(A(0))))))))) :|: z - 7 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(b(A(z - 10))))))))) :|: z - 10 >= 0
   B(z) -{ 1 }-> b(b(b(b(b(b(b(b(A(1 + (z - 7)))))))))) :|: z - 7 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(B(B(B(B(B(B(z - 16))))))))))))) :|: z - 16 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(A(A(z - 10))))))))) :|: z - 10 >= 0
   B(z) -{ 1 }-> b(b(b(b(b(b(b(0))))))) :|: z - 7 >= 0
   B(z) -{ 2 }-> b(b(b(b(b(b(b(z - 10))))))) :|: z - 10 >= 0
   B(z) -{ 1 }-> b(b(b(b(b(b(b(1 + (z - 7)))))))) :|: z - 7 >= 0
   B(z) -{ 0 }-> 0 :|: z >= 0
   B(z) -{ 1 }-> z - 3 :|: z - 3 >= 0
   B(z) -{ 0 }-> 1 + z :|: z >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z - 16))))))))))))))))) :|: z - 16 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(c(c(z - 10))))))))))) :|: z - 10 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z - 14))))))))))))))))))) :|: z - 14 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z - 14))))))))))))))))) :|: z - 14 >= 0
   C(z) -{ 1 }-> c(c(c(c(c(c(c(c(B(0))))))))) :|: z - 7 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(c(B(z - 10))))))))) :|: z - 10 >= 0
   C(z) -{ 1 }-> c(c(c(c(c(c(c(c(B(1 + (z - 7)))))))))) :|: z - 7 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(C(C(C(C(C(C(z - 16))))))))))))) :|: z - 16 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(B(B(z - 10))))))))) :|: z - 10 >= 0
   C(z) -{ 1 }-> c(c(c(c(c(c(c(0))))))) :|: z - 7 >= 0
   C(z) -{ 2 }-> c(c(c(c(c(c(c(z - 10))))))) :|: z - 10 >= 0
   C(z) -{ 1 }-> c(c(c(c(c(c(c(1 + (z - 7)))))))) :|: z - 7 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z - 18))))))))))))))) :|: z - 18 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(c(c(z - 12))))))))) :|: z - 12 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z - 16))))))))))))))))) :|: z - 16 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z - 16))))))))))))))) :|: z - 16 >= 0
   C(z) -{ 1 }-> a(a(B(B(B(B(B(0))))))) :|: z - 9 >= 0
   C(z) -{ 2 }-> a(a(B(B(B(B(B(z - 12))))))) :|: z - 12 >= 0
   C(z) -{ 1 }-> a(a(B(B(B(B(B(1 + (z - 9)))))))) :|: z - 9 >= 0
   C(z) -{ 2 }-> a(C(C(z - 6))) :|: z - 6 >= 0
   C(z) -{ 2 }-> a(A(A(A(A(A(A(z - 12))))))) :|: z - 12 >= 0
   C(z) -{ 1 }-> a(0) :|: z - 3 >= 0
   C(z) -{ 2 }-> a(z - 6) :|: z - 6 >= 0
   C(z) -{ 1 }-> a(1 + (z - 3)) :|: z - 3 >= 0
   C(z) -{ 0 }-> 0 :|: z >= 0
   C(z) -{ 1 }-> z - 3 :|: z - 3 >= 0
   C(z) -{ 0 }-> 1 + z :|: z >= 0
   a(z) -{ 2 }-> C(c(c(c(c(c(c(c(c(B(B(z - 10))))))))))) :|: z - 10 >= 0
   a(z) -{ 2 }-> C(c(c(c(c(c(c(c(c(z - 10))))))))) :|: z - 10 >= 0
   a(z) -{ 2 }-> C(a(a(B(B(B(B(B(B(z - 12))))))))) :|: z - 12 >= 0
   a(z) -{ 2 }-> C(a(a(z - 6))) :|: z - 6 >= 0
   a(z) -{ 1 }-> C(0) :|: z - 3 >= 0
   a(z) -{ 2 }-> C(z - 6) :|: z - 6 >= 0
   a(z) -{ 1 }-> C(1 + (z - 3)) :|: z - 3 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(b(b(C(C(C(C(C(C(z - 18))))))))))))) :|: z - 18 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(b(b(z - 12))))))) :|: z - 12 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z - 16))))))))))))))) :|: z - 16 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(a(a(a(a(a(a(a(a(z - 16))))))))))))) :|: z - 16 >= 0
   a(z) -{ 1 }-> A(A(A(A(A(0))))) :|: z - 9 >= 0
   a(z) -{ 2 }-> A(A(A(A(A(z - 12))))) :|: z - 12 >= 0
   a(z) -{ 1 }-> A(A(A(A(A(1 + (z - 9)))))) :|: z - 9 >= 0
   a(z) -{ 0 }-> 0 :|: z >= 0
   a(z) -{ 1 }-> z - 3 :|: z - 3 >= 0
   a(z) -{ 0 }-> 1 + z :|: z >= 0
   b(z) -{ 2 }-> B(B(B(B(B(c(c(A(A(A(A(A(A(z - 18))))))))))))) :|: z - 18 >= 0
   b(z) -{ 2 }-> B(B(B(B(B(c(c(z - 12))))))) :|: z - 12 >= 0
   b(z) -{ 2 }-> B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z - 16))))))))))))))) :|: z - 16 >= 0
   b(z) -{ 2 }-> B(B(B(B(B(b(b(b(b(b(b(b(b(z - 16))))))))))))) :|: z - 16 >= 0
   b(z) -{ 1 }-> B(B(B(B(B(0))))) :|: z - 9 >= 0
   b(z) -{ 2 }-> B(B(B(B(B(z - 12))))) :|: z - 12 >= 0
   b(z) -{ 1 }-> B(B(B(B(B(1 + (z - 9)))))) :|: z - 9 >= 0
   b(z) -{ 2 }-> A(b(b(C(C(C(C(C(C(z - 12))))))))) :|: z - 12 >= 0
   b(z) -{ 2 }-> A(b(b(z - 6))) :|: z - 6 >= 0
   b(z) -{ 2 }-> A(a(a(a(a(a(a(a(a(C(C(z - 10))))))))))) :|: z - 10 >= 0
   b(z) -{ 2 }-> A(a(a(a(a(a(a(a(a(z - 10))))))))) :|: z - 10 >= 0
   b(z) -{ 1 }-> A(0) :|: z - 3 >= 0
   b(z) -{ 2 }-> A(z - 6) :|: z - 6 >= 0
   b(z) -{ 1 }-> A(1 + (z - 3)) :|: z - 3 >= 0
   b(z) -{ 0 }-> 0 :|: z >= 0
   b(z) -{ 1 }-> z - 3 :|: z - 3 >= 0
   b(z) -{ 0 }-> 1 + z :|: z >= 0
   c(z) -{ 2 }-> C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z - 16))))))))))))))) :|: z - 16 >= 0
   c(z) -{ 2 }-> C(C(C(C(C(c(c(c(c(c(c(c(c(z - 16))))))))))))) :|: z - 16 >= 0
   c(z) -{ 2 }-> C(C(C(C(C(a(a(B(B(B(B(B(B(z - 18))))))))))))) :|: z - 18 >= 0
   c(z) -{ 2 }-> C(C(C(C(C(a(a(z - 12))))))) :|: z - 12 >= 0
   c(z) -{ 1 }-> C(C(C(C(C(0))))) :|: z - 9 >= 0
   c(z) -{ 2 }-> C(C(C(C(C(z - 12))))) :|: z - 12 >= 0
   c(z) -{ 1 }-> C(C(C(C(C(1 + (z - 9)))))) :|: z - 9 >= 0
   c(z) -{ 2 }-> B(c(c(A(A(A(A(A(A(z - 12))))))))) :|: z - 12 >= 0
   c(z) -{ 2 }-> B(c(c(z - 6))) :|: z - 6 >= 0
   c(z) -{ 2 }-> B(b(b(b(b(b(b(b(b(A(A(z - 10))))))))))) :|: z - 10 >= 0
   c(z) -{ 2 }-> B(b(b(b(b(b(b(b(b(z - 10))))))))) :|: z - 10 >= 0
   c(z) -{ 1 }-> B(0) :|: z - 3 >= 0
   c(z) -{ 2 }-> B(z - 6) :|: z - 6 >= 0
   c(z) -{ 1 }-> B(1 + (z - 3)) :|: z - 3 >= 0
   c(z) -{ 0 }-> 0 :|: z >= 0
   c(z) -{ 1 }-> z - 3 :|: z - 3 >= 0
   c(z) -{ 0 }-> 1 + z :|: z >= 0
   encArg(z) -{ 0 }-> c(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(A(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> c(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> b(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(A(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> b(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> a(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(A(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> a(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> C(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(A(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> C(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> B(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(A(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> B(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> A(c(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> A(b(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> A(a(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> A(C(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> A(B(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> A(A(encArg(z - 2))) :|: z - 2 >= 0
   encArg(z) -{ 0 }-> A(0) :|: z - 1 >= 0
   encArg(z) -{ 0 }-> 0 :|: z >= 0
   encode_A(z) -{ 0 }-> A(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_A(z) -{ 0 }-> A(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_A(z) -{ 0 }-> A(a(encArg(z - 1))) :|: z - 1 >= 0
   encode_A(z) -{ 0 }-> A(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_A(z) -{ 0 }-> A(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_A(z) -{ 0 }-> A(A(encArg(z - 1))) :|: z - 1 >= 0
   encode_A(z) -{ 0 }-> A(0) :|: z >= 0
   encode_A(z) -{ 0 }-> 0 :|: z >= 0
   encode_B(z) -{ 0 }-> B(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(a(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(A(encArg(z - 1))) :|: z - 1 >= 0
   encode_B(z) -{ 0 }-> B(0) :|: z >= 0
   encode_B(z) -{ 0 }-> 0 :|: z >= 0
   encode_C(z) -{ 0 }-> C(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(a(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(A(encArg(z - 1))) :|: z - 1 >= 0
   encode_C(z) -{ 0 }-> C(0) :|: z >= 0
   encode_C(z) -{ 0 }-> 0 :|: z >= 0
   encode_a(z) -{ 0 }-> a(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> a(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> a(a(encArg(z - 1))) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> a(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> a(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> a(A(encArg(z - 1))) :|: z - 1 >= 0
   encode_a(z) -{ 0 }-> a(0) :|: z >= 0
   encode_a(z) -{ 0 }-> 0 :|: z >= 0
   encode_b(z) -{ 0 }-> b(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(a(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(A(encArg(z - 1))) :|: z - 1 >= 0
   encode_b(z) -{ 0 }-> b(0) :|: z >= 0
   encode_b(z) -{ 0 }-> 0 :|: z >= 0
   encode_c(z) -{ 0 }-> c(c(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(b(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(a(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(C(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(B(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(A(encArg(z - 1))) :|: z - 1 >= 0
   encode_c(z) -{ 0 }-> c(0) :|: z >= 0
   encode_c(z) -{ 0 }-> 0 :|: z >= 0


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

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

(38)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_A(z0) -> A(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
Tuples:
   ENCARG(cons_a(z0)) -> c1(A'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0) -> c7(A'(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c8(B'(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c9(C''(encArg(z0)), ENCARG(z0))
   ENCODE_C'(z0) -> c10(C'(encArg(z0)), ENCARG(z0))
   ENCODE_A'(z0) -> c11(A''(encArg(z0)), ENCARG(z0))
   ENCODE_B'(z0) -> c12(B''(encArg(z0)), ENCARG(z0))
   A'(z0) -> c13
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(z0) -> c17
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(z0) -> c21
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(z0) -> c25
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(z0) -> c31
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(z0) -> c37
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   A_1, C_1, b_1, a_1, c_1, B_1, encArg_1, encode_a_1, encode_b_1, encode_C_1, encode_c_1, encode_A_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_2, c13, c14, c15_2, c16_6, c17, c18, c19_6, c20_2, c21, c22_6, c23, c24_2, c25, c26_10, c27, c28_2, c29_8, c30_8, c31, c32, c33_10, c34_8, c35_8, c36_2, c37, c38_8, c39, c40_2, c41_10, c42_8


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

(39) CdtLeafRemovalProof (BOTH BOUNDS(ID, ID))
Removed 6 trailing nodes:
   C'(z0) -> c21
   C''(z0) -> c25
   A''(z0) -> c37
   B'(z0) -> c17
   B''(z0) -> c31
   A'(z0) -> c13

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

(40)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_A(z0) -> A(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
Tuples:
   ENCARG(cons_a(z0)) -> c1(A'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   ENCODE_A(z0) -> c7(A'(encArg(z0)), ENCARG(z0))
   ENCODE_B(z0) -> c8(B'(encArg(z0)), ENCARG(z0))
   ENCODE_C(z0) -> c9(C''(encArg(z0)), ENCARG(z0))
   ENCODE_C'(z0) -> c10(C'(encArg(z0)), ENCARG(z0))
   ENCODE_A'(z0) -> c11(A''(encArg(z0)), ENCARG(z0))
   ENCODE_B'(z0) -> c12(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   A_1, C_1, b_1, a_1, c_1, B_1, encArg_1, encode_a_1, encode_b_1, encode_C_1, encode_c_1, encode_A_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c7_2, c8_2, c9_2, c10_2, c11_2, c12_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8


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

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

(42)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_A(z0) -> A(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
Tuples:
   ENCARG(cons_a(z0)) -> c1(A'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_A(z0) -> c13(ENCARG(z0))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_B(z0) -> c13(ENCARG(z0))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C(z0) -> c13(ENCARG(z0))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_C'(z0) -> c13(ENCARG(z0))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_A'(z0) -> c13(ENCARG(z0))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCODE_B'(z0) -> c13(ENCARG(z0))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   A_1, C_1, b_1, a_1, c_1, B_1, encArg_1, encode_a_1, encode_b_1, encode_C_1, encode_c_1, encode_A_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1


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

(43) CdtLeafRemovalProof (ComplexityIfPolyImplication)
Removed 6 leading nodes:
   ENCODE_A(z0) -> c13(ENCARG(z0))
   ENCODE_B(z0) -> c13(ENCARG(z0))
   ENCODE_C(z0) -> c13(ENCARG(z0))
   ENCODE_C'(z0) -> c13(ENCARG(z0))
   ENCODE_A'(z0) -> c13(ENCARG(z0))
   ENCODE_B'(z0) -> c13(ENCARG(z0))

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

(44)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_A(z0) -> A(encArg(z0))
   encode_B(z0) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
Tuples:
   ENCARG(cons_a(z0)) -> c1(A'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   A_1, C_1, b_1, a_1, c_1, B_1, encArg_1, encode_a_1, encode_b_1, encode_C_1, encode_c_1, encode_A_1, encode_B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1


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

(45) CdtUsableRulesProof (BOTH BOUNDS(ID, ID))
The following rules are not usable and were removed:
   encode_a(z0) -> a(encArg(z0))
   encode_b(z0) -> b(encArg(z0))
   encode_C(z0) -> C(encArg(z0))
   encode_c(z0) -> c(encArg(z0))
   encode_A(z0) -> A(encArg(z0))
   encode_B(z0) -> B(encArg(z0))

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

(46)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   ENCARG(cons_a(z0)) -> c1(A'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1


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

(47) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_a(z0)) -> c1(A'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(48)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c2_2, c3_2, c4_2, c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2


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

(49) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_b(z0)) -> c2(B'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(50)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0))
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c3_2, c4_2, c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2


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

(51) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_c(z0)) -> c3(C'(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(52)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c4_2, c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2


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

(53) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_A(z0)) -> c4(A''(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(54)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0))
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c5_2, c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2


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

(55) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_C(z0)) -> c5(C''(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(56)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0))
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   ENCARG_1, A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1

Compound Symbols:   c6_2, c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2


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

(57) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace ENCARG(cons_B(z0)) -> c6(B''(encArg(z0)), ENCARG(z0)) by 
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))

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

(58)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c15_2, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2


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

(59) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A'(c_a(c_b(c_b(z0)))) -> c15(C''(C(z0)), C''(z0)) by 
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))

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

(60)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c16_6, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2


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

(61) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0)) by 
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))

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

(62)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c19_6, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6


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

(63) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0)) by 
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))

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

(64)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c20_2, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6


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

(65) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B'(c_b(c_c(c_c(z0)))) -> c20(A''(A(z0)), A''(z0)) by 
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))

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

(66)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c22_6, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2


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

(67) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0)) by 
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))

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

(68)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c24_2, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6


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

(69) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C'(c_c(c_a(c_a(z0)))) -> c24(B''(B(z0)), B''(z0)) by 
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))

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

(70)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c26_10, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2


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

(71) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0)) by 
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))

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

(72)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c28_2, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10


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

(73) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_C(c_B(c_B(z0)))) -> c28(A'(a(z0)), A'(z0)) by 
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))

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

(74)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c29_8, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2


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

(75) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0)) by 
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))

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

(76)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c30_8, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8


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

(77) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0)) by 
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))

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

(78)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c33_10, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8


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

(79) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0)) by 
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))

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

(80)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c34_8, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10


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

(81) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0)) by 
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))

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

(82)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c35_8, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10, c34_8


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

(83) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0)) by 
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))

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

(84)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c36_2, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10, c34_8, c35_8


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

(85) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace B''(c_B(c_A(c_A(z0)))) -> c36(C'(c(z0)), C'(z0)) by 
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))

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

(86)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c38_8, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10, c34_8, c35_8, c36_2


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

(87) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0)) by 
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))

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

(88)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c39, c40_2, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10, c34_8, c35_8, c36_2, c38_8


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

(89) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A''(c_A(c_C(c_C(z0)))) -> c40(B'(b(z0)), B'(z0)) by 
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(c_b(z0)), B'(z0))
   A''(c_A(c_C(c_C(c_b(c_B(c_B(z0))))))) -> c40(B'(z0), B'(c_b(c_B(c_B(z0)))))
   A''(c_A(c_C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c40(B'(B(B(B(B(B(B(z0))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(c_b(c_c(c_c(z0))))))) -> c40(B'(A(A(z0))), B'(c_b(c_c(c_c(z0)))))

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

(90)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(c_b(z0)), B'(z0))
   A''(c_A(c_C(c_C(c_b(c_B(c_B(z0))))))) -> c40(B'(z0), B'(c_b(c_B(c_B(z0)))))
   A''(c_A(c_C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c40(B'(B(B(B(B(B(B(z0))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(c_b(c_c(c_c(z0))))))) -> c40(B'(A(A(z0))), B'(c_b(c_c(c_c(z0)))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(c_b(z0)), B'(z0))
   A''(c_A(c_C(c_C(c_b(c_B(c_B(z0))))))) -> c40(B'(z0), B'(c_b(c_B(c_B(z0)))))
   A''(c_A(c_C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c40(B'(B(B(B(B(B(B(z0))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(c_b(c_c(c_c(z0))))))) -> c40(B'(A(A(z0))), B'(c_b(c_c(c_c(z0)))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c39, c41_10, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10, c34_8, c35_8, c36_2, c38_8, c40_2


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

(91) CdtNarrowingProof (BOTH BOUNDS(ID, ID))
Use narrowing to replace A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0)) by 
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(c_a(a(a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(c_a(a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(c_a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(c_a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(c_a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(c_a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(a(c_a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(a(a(c_C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(c_C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))), A'(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), A'(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), A'(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), A'(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), A'(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_c(c_c(z0))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(z0))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_c(c_c(z0)))))))))))), A'(a(a(a(a(a(C(C(c_C(c_c(c_c(z0))))))))))), A'(a(a(a(a(C(C(c_C(c_c(c_c(z0)))))))))), A'(a(a(a(C(C(c_C(c_c(c_c(z0))))))))), A'(a(a(C(C(c_C(c_c(c_c(z0)))))))), A'(a(C(C(c_C(c_c(c_c(z0))))))), A'(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_B(c_B(z0))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(a(a(z0))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_B(c_B(z0)))))))))))), A'(a(a(a(a(a(C(C(c_C(c_B(c_B(z0))))))))))), A'(a(a(a(a(C(C(c_C(c_B(c_B(z0)))))))))), A'(a(a(a(C(C(c_C(c_B(c_B(z0))))))))), A'(a(a(C(C(c_C(c_B(c_B(z0)))))))), A'(a(C(C(c_C(c_B(c_B(z0))))))), A'(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(z0))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))), A'(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), A'(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), A'(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), A'(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), A'(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(a(a(B(B(B(B(B(B(z0))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))), A'(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), A'(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), A'(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), A'(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), A'(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))

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

(92)
Obligation:
Complexity Dependency Tuples Problem

Rules:
   encArg(cons_a(z0)) -> a(encArg(z0))
   encArg(cons_b(z0)) -> b(encArg(z0))
   encArg(cons_c(z0)) -> c(encArg(z0))
   encArg(cons_A(z0)) -> A(encArg(z0))
   encArg(cons_C(z0)) -> C(encArg(z0))
   encArg(cons_B(z0)) -> B(encArg(z0))
   a(z0) -> c_a(z0)
   a(c_a(c_A(c_A(z0)))) -> z0
   a(c_a(c_b(c_b(z0)))) -> C(C(z0))
   a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> A(A(A(A(A(A(z0))))))
   b(z0) -> c_b(z0)
   b(c_b(c_B(c_B(z0)))) -> z0
   b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> B(B(B(B(B(B(z0))))))
   b(c_b(c_c(c_c(z0)))) -> A(A(z0))
   c(z0) -> c_c(z0)
   c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> C(C(C(C(C(C(z0))))))
   c(c_c(c_C(c_C(z0)))) -> z0
   c(c_c(c_a(c_a(z0)))) -> B(B(z0))
   A(z0) -> c_A(z0)
   A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> b(b(C(C(C(C(C(C(z0))))))))
   A(c_A(c_a(c_a(z0)))) -> z0
   A(c_A(c_C(c_C(z0)))) -> b(b(z0))
   A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> a(a(a(a(a(a(a(a(C(C(z0))))))))))
   A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> a(a(a(a(a(a(a(a(z0))))))))
   C(z0) -> c_C(z0)
   C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c(c(c(c(c(c(c(c(B(B(z0))))))))))
   C(c_C(c_c(c_c(z0)))) -> z0
   C(c_C(c_B(c_B(z0)))) -> a(a(z0))
   C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c(c(c(c(c(c(c(c(z0))))))))
   C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> a(a(B(B(B(B(B(B(z0))))))))
   B(z0) -> c_B(z0)
   B(c_B(c_b(c_b(z0)))) -> z0
   B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> b(b(b(b(b(b(b(b(A(A(z0))))))))))
   B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> b(b(b(b(b(b(b(b(z0))))))))
   B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c(c(A(A(A(A(A(A(z0))))))))
   B(c_B(c_A(c_A(z0)))) -> c(c(z0))
Tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   ENCODE_A(z0) -> c13(A'(encArg(z0)))
   ENCODE_B(z0) -> c13(B'(encArg(z0)))
   ENCODE_C(z0) -> c13(C''(encArg(z0)))
   ENCODE_C'(z0) -> c13(C'(encArg(z0)))
   ENCODE_A'(z0) -> c13(A''(encArg(z0)))
   ENCODE_B'(z0) -> c13(B''(encArg(z0)))
   ENCARG(cons_a(cons_a(z0))) -> c1(A'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_a(cons_b(z0))) -> c1(A'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_a(cons_c(z0))) -> c1(A'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_a(cons_A(z0))) -> c1(A'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_a(cons_C(z0))) -> c1(A'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_a(cons_B(z0))) -> c1(A'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_b(cons_a(z0))) -> c2(B'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_b(cons_b(z0))) -> c2(B'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_b(cons_c(z0))) -> c2(B'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_b(cons_A(z0))) -> c2(B'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_b(cons_C(z0))) -> c2(B'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_b(cons_B(z0))) -> c2(B'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_c(cons_a(z0))) -> c3(C'(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_c(cons_b(z0))) -> c3(C'(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_c(cons_c(z0))) -> c3(C'(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_c(cons_A(z0))) -> c3(C'(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_c(cons_C(z0))) -> c3(C'(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_c(cons_B(z0))) -> c3(C'(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_A(cons_a(z0))) -> c4(A''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_A(cons_b(z0))) -> c4(A''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_A(cons_c(z0))) -> c4(A''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_A(cons_A(z0))) -> c4(A''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_A(cons_C(z0))) -> c4(A''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_A(cons_B(z0))) -> c4(A''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_C(cons_a(z0))) -> c5(C''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_C(cons_b(z0))) -> c5(C''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_C(cons_c(z0))) -> c5(C''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_C(cons_A(z0))) -> c5(C''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_C(cons_C(z0))) -> c5(C''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_C(cons_B(z0))) -> c5(C''(B(encArg(z0))), ENCARG(cons_B(z0)))
   ENCARG(cons_B(cons_a(z0))) -> c6(B''(a(encArg(z0))), ENCARG(cons_a(z0)))
   ENCARG(cons_B(cons_b(z0))) -> c6(B''(b(encArg(z0))), ENCARG(cons_b(z0)))
   ENCARG(cons_B(cons_c(z0))) -> c6(B''(c(encArg(z0))), ENCARG(cons_c(z0)))
   ENCARG(cons_B(cons_A(z0))) -> c6(B''(A(encArg(z0))), ENCARG(cons_A(z0)))
   ENCARG(cons_B(cons_C(z0))) -> c6(B''(C(encArg(z0))), ENCARG(cons_C(z0)))
   ENCARG(cons_B(cons_B(z0))) -> c6(B''(B(encArg(z0))), ENCARG(cons_B(z0)))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(c_b(z0)), B'(z0))
   A''(c_A(c_C(c_C(c_b(c_B(c_B(z0))))))) -> c40(B'(z0), B'(c_b(c_B(c_B(z0)))))
   A''(c_A(c_C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c40(B'(B(B(B(B(B(B(z0))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(c_b(c_c(c_c(z0))))))) -> c40(B'(A(A(z0))), B'(c_b(c_c(c_c(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(c_a(a(a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(c_a(a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(c_a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(c_a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(c_a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(c_a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(a(c_a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(a(a(c_C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(c_C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))), A'(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), A'(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), A'(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), A'(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), A'(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_c(c_c(z0))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(z0))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_c(c_c(z0)))))))))))), A'(a(a(a(a(a(C(C(c_C(c_c(c_c(z0))))))))))), A'(a(a(a(a(C(C(c_C(c_c(c_c(z0)))))))))), A'(a(a(a(C(C(c_C(c_c(c_c(z0))))))))), A'(a(a(C(C(c_C(c_c(c_c(z0)))))))), A'(a(C(C(c_C(c_c(c_c(z0))))))), A'(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_B(c_B(z0))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(a(a(z0))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_B(c_B(z0)))))))))))), A'(a(a(a(a(a(C(C(c_C(c_B(c_B(z0))))))))))), A'(a(a(a(a(C(C(c_C(c_B(c_B(z0)))))))))), A'(a(a(a(C(C(c_C(c_B(c_B(z0))))))))), A'(a(a(C(C(c_C(c_B(c_B(z0)))))))), A'(a(C(C(c_C(c_B(c_B(z0))))))), A'(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(z0))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))), A'(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), A'(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), A'(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), A'(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), A'(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(a(a(B(B(B(B(B(B(z0))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))), A'(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), A'(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), A'(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), A'(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), A'(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
S tuples:
   A'(c_a(c_A(c_A(z0)))) -> c14
   B'(c_b(c_B(c_B(z0)))) -> c18
   C'(c_c(c_C(c_C(z0)))) -> c23
   C''(c_C(c_c(c_c(z0)))) -> c27
   B''(c_B(c_b(c_b(z0)))) -> c32
   A''(c_A(c_a(c_a(z0)))) -> c39
   A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))) -> c42(A'(a(a(a(a(a(a(a(z0)))))))), A'(a(a(a(a(a(a(z0))))))), A'(a(a(a(a(a(z0)))))), A'(a(a(a(a(z0))))), A'(a(a(a(z0)))), A'(a(a(z0))), A'(a(z0)), A'(z0))
   A'(c_a(c_b(c_b(z0)))) -> c15(C''(c_C(z0)), C''(z0))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(B(B(z0))))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_c(c_c(z0))))))) -> c15(C''(z0), C''(c_C(c_c(c_c(z0)))))
   A'(c_a(c_b(c_b(c_C(c_B(c_B(z0))))))) -> c15(C''(a(a(z0))), C''(c_C(c_B(c_B(z0)))))
   A'(c_a(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))) -> c15(C''(c(c(c(c(c(c(c(c(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A'(c_a(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c15(C''(a(a(B(B(B(B(B(B(z0))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(c_A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(c_A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(c_A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c16(A''(A(A(A(c_A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c16(A''(A(A(A(A(c_A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c16(A''(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c16(A''(A(A(A(A(z0))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c16(A''(A(A(A(A(b(b(z0))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c16(A''(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(c_B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(c_B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(c_B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c19(B''(B(B(B(c_B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c19(B''(B(B(B(B(c_B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c19(B''(B(B(B(B(z0))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c19(B''(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c19(B''(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c19(B''(B(B(B(B(c(c(z0))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B'(c_b(c_c(c_c(z0)))) -> c20(A''(c_A(z0)), A''(z0))
   B'(c_b(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c20(A''(b(b(C(C(C(C(C(C(z0))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B'(c_b(c_c(c_c(c_A(c_a(c_a(z0))))))) -> c20(A''(z0), A''(c_A(c_a(c_a(z0)))))
   B'(c_b(c_c(c_c(c_A(c_C(c_C(z0))))))) -> c20(A''(b(b(z0))), A''(c_A(c_C(c_C(z0)))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(C(C(z0))))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B'(c_b(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))) -> c20(A''(a(a(a(a(a(a(a(a(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(c_C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(c_C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(c_C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c22(C''(C(C(C(c_C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c22(C''(C(C(C(C(c_C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c22(C''(C(C(C(C(z0))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c22(C''(C(C(C(C(a(a(z0))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c22(C''(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c22(C''(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   C'(c_c(c_a(c_a(z0)))) -> c24(B''(c_B(z0)), B''(z0))
   C'(c_c(c_a(c_a(c_B(c_b(c_b(z0))))))) -> c24(B''(z0), B''(c_B(c_b(c_b(z0)))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(A(A(z0))))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))) -> c24(B''(b(b(b(b(b(b(b(b(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C'(c_c(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c24(B''(c(c(A(A(A(A(A(A(z0))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C'(c_c(c_a(c_a(c_B(c_A(c_A(z0))))))) -> c24(B''(c(c(z0))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c_c(c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c_c(c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c_c(c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c_c(c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c_c(c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c_c(c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c_c(B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(x0)))))))) -> c26(C'(c(c(c(c(c(c(c(c_B(B(x0)))))))))), C'(c(c(c(c(c(c(B(B(x0))))))))), C'(c(c(c(c(c(B(B(x0)))))))), C'(c(c(c(c(B(B(x0))))))), C'(c(c(c(B(B(x0)))))), C'(c(c(B(B(x0))))), C'(c(B(B(x0)))), C'(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))) -> c26(C'(c(c(c(c(c(c(c(B(c_B(z0)))))))))), C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(B(B(z0)))))))), C'(c(c(c(c(B(B(z0))))))), C'(c(c(c(B(B(z0)))))), C'(c(c(B(B(z0))))), C'(c(B(B(z0)))), C'(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_b(c_b(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(z0))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_b(c_b(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_b(c_b(z0)))))))))), C'(c(c(c(B(B(c_B(c_b(c_b(z0))))))))), C'(c(c(B(B(c_B(c_b(c_b(z0)))))))), C'(c(B(B(c_B(c_b(c_b(z0))))))), C'(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(b(b(b(b(b(b(b(b(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))), C'(c(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), C'(c(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), C'(c(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), C'(c(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), C'(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(A(A(A(A(A(A(z0))))))))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))))), C'(c(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))), C'(c(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), C'(c(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), C'(c(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), C'(c(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), C'(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(c_B(c_A(c_A(z0))))))))))) -> c26(C'(c(c(c(c(c(c(c(B(c(c(z0))))))))))), C'(c(c(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))))), C'(c(c(c(c(c(B(B(c_B(c_A(c_A(z0))))))))))), C'(c(c(c(c(B(B(c_B(c_A(c_A(z0)))))))))), C'(c(c(c(B(B(c_B(c_A(c_A(z0))))))))), C'(c(c(B(B(c_B(c_A(c_A(z0)))))))), C'(c(B(B(c_B(c_A(c_A(z0))))))), C'(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(z0)))) -> c28(A'(c_a(z0)), A'(z0))
   C''(c_C(c_B(c_B(c_a(c_A(c_A(z0))))))) -> c28(A'(z0), A'(c_a(c_A(c_A(z0)))))
   C''(c_C(c_B(c_B(c_a(c_b(c_b(z0))))))) -> c28(A'(C(C(z0))), A'(c_a(c_b(c_b(z0)))))
   C''(c_C(c_B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))) -> c28(A'(A(A(A(A(A(A(z0))))))), A'(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c_c(c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c_c(c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c_c(c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c_c(c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c_c(c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(x0)))))))) -> c29(C'(c(c(c(c(c(c_c(c(x0)))))))), C'(c(c(c(c(c(c(x0))))))), C'(c(c(c(c(c(x0)))))), C'(c(c(c(c(x0))))), C'(c(c(c(x0)))), C'(c(c(x0))), C'(c(x0)), C'(x0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))) -> c29(C'(c(c(c(c(c(c(c_c(z0)))))))), C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(z0)))))), C'(c(c(c(c(z0))))), C'(c(c(c(z0)))), C'(c(c(z0))), C'(c(z0)), C'(z0))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c29(C'(c(c(c(c(c(c(C(C(C(C(C(C(z0))))))))))))), C'(c(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), C'(c(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), C'(c(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), C'(c(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), C'(c(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), C'(c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_C(c_C(z0))))))))))) -> c29(C'(c(c(c(c(c(c(z0))))))), C'(c(c(c(c(c(c(c_c(c_C(c_C(z0)))))))))), C'(c(c(c(c(c(c_c(c_C(c_C(z0))))))))), C'(c(c(c(c(c_c(c_C(c_C(z0)))))))), C'(c(c(c(c_c(c_C(c_C(z0))))))), C'(c(c(c_c(c_C(c_C(z0)))))), C'(c(c_c(c_C(c_C(z0))))), C'(c_c(c_C(c_C(z0)))))
   C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(c_c(c_a(c_a(z0))))))))))) -> c29(C'(c(c(c(c(c(c(B(B(z0))))))))), C'(c(c(c(c(c(c(c_c(c_a(c_a(z0)))))))))), C'(c(c(c(c(c(c_c(c_a(c_a(z0))))))))), C'(c(c(c(c(c_c(c_a(c_a(z0)))))))), C'(c(c(c(c_c(c_a(c_a(z0))))))), C'(c(c(c_c(c_a(c_a(z0)))))), C'(c(c_c(c_a(c_a(z0))))), C'(c_c(c_a(c_a(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(c_a(B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(c_B(B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(c_B(B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(c_B(B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(c_B(B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(x0)))))))))) -> c30(A'(a(B(B(B(B(c_B(B(x0)))))))), A'(B(B(B(B(B(B(x0))))))), B''(B(B(B(B(B(x0)))))), B''(B(B(B(B(x0))))), B''(B(B(B(x0)))), B''(B(B(x0))), B''(B(x0)), B''(x0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))) -> c30(A'(a(B(B(B(B(B(c_B(z0)))))))), A'(B(B(B(B(B(B(z0))))))), B''(B(B(B(B(B(z0)))))), B''(B(B(B(B(z0))))), B''(B(B(B(z0)))), B''(B(B(z0))), B''(B(z0)), B''(z0))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_b(c_b(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(z0))))))), A'(B(B(B(B(B(B(c_B(c_b(c_b(z0)))))))))), B''(B(B(B(B(B(c_B(c_b(c_b(z0))))))))), B''(B(B(B(B(c_B(c_b(c_b(z0)))))))), B''(B(B(B(c_B(c_b(c_b(z0))))))), B''(B(B(c_B(c_b(c_b(z0)))))), B''(B(c_B(c_b(c_b(z0))))), B''(c_B(c_b(c_b(z0)))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(A(A(z0))))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))))))) -> c30(A'(a(B(B(B(B(B(b(b(b(b(b(b(b(b(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))))), B''(B(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))))), B''(B(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))))), B''(B(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))))), B''(B(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))), B''(B(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0))))))))), B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(A(A(A(A(A(A(z0))))))))))))))), A'(B(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))))), B''(B(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))))), B''(B(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))))), B''(B(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))))), B''(B(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))), B''(B(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0))))))))))), B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))))
   C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_B(c_A(c_A(z0))))))))))))) -> c30(A'(a(B(B(B(B(B(c(c(z0))))))))), A'(B(B(B(B(B(B(c_B(c_A(c_A(z0)))))))))), B''(B(B(B(B(B(c_B(c_A(c_A(z0))))))))), B''(B(B(B(B(c_B(c_A(c_A(z0)))))))), B''(B(B(B(c_B(c_A(c_A(z0))))))), B''(B(B(c_B(c_A(c_A(z0)))))), B''(B(c_B(c_A(c_A(z0))))), B''(c_B(c_A(c_A(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(c_b(b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(c_b(b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(c_b(b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(c_b(b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(c_b(b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(c_b(b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(c_b(A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(x0)))))))) -> c33(B'(b(b(b(b(b(b(b(c_A(A(x0)))))))))), B'(b(b(b(b(b(b(A(A(x0))))))))), B'(b(b(b(b(b(A(A(x0)))))))), B'(b(b(b(b(A(A(x0))))))), B'(b(b(b(A(A(x0)))))), B'(b(b(A(A(x0))))), B'(b(A(A(x0)))), B'(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(z0)))))))) -> c33(B'(b(b(b(b(b(b(b(A(c_A(z0)))))))))), B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(A(A(z0)))))))), B'(b(b(b(b(A(A(z0))))))), B'(b(b(b(A(A(z0)))))), B'(b(b(A(A(z0))))), B'(b(A(A(z0)))), B'(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(C(C(C(C(C(C(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))), B'(b(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), B'(b(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), B'(b(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), B'(b(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), B'(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_a(c_a(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(z0))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_a(c_a(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_a(c_a(z0)))))))))), B'(b(b(b(A(A(c_A(c_a(c_a(z0))))))))), B'(b(b(A(A(c_A(c_a(c_a(z0)))))))), B'(b(A(A(c_A(c_a(c_a(z0))))))), B'(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_C(c_C(z0))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(b(b(z0))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))))), B'(b(b(b(b(b(A(A(c_A(c_C(c_C(z0))))))))))), B'(b(b(b(b(A(A(c_A(c_C(c_C(z0)))))))))), B'(b(b(b(A(A(c_A(c_C(c_C(z0))))))))), B'(b(b(A(A(c_A(c_C(c_C(z0)))))))), B'(b(A(A(c_A(c_C(c_C(z0))))))), B'(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_c(c_c(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))) -> c33(B'(b(b(b(b(b(b(b(A(a(a(a(a(a(a(a(a(z0))))))))))))))))), B'(b(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))))), B'(b(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))), B'(b(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), B'(b(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), B'(b(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), B'(b(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), B'(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(c_b(b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(c_b(b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(c_b(b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(c_b(b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(c_b(b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(x0)))))))) -> c34(B'(b(b(b(b(b(c_b(b(x0)))))))), B'(b(b(b(b(b(b(x0))))))), B'(b(b(b(b(b(x0)))))), B'(b(b(b(b(x0))))), B'(b(b(b(x0)))), B'(b(b(x0))), B'(b(x0)), B'(x0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(z0)))))))) -> c34(B'(b(b(b(b(b(b(c_b(z0)))))))), B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(z0)))))), B'(b(b(b(b(z0))))), B'(b(b(b(z0)))), B'(b(b(z0))), B'(b(z0)), B'(z0))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_B(c_B(z0))))))))))) -> c34(B'(b(b(b(b(b(b(z0))))))), B'(b(b(b(b(b(b(c_b(c_B(c_B(z0)))))))))), B'(b(b(b(b(b(c_b(c_B(c_B(z0))))))))), B'(b(b(b(b(c_b(c_B(c_B(z0)))))))), B'(b(b(b(c_b(c_B(c_B(z0))))))), B'(b(b(c_b(c_B(c_B(z0)))))), B'(b(c_b(c_B(c_B(z0))))), B'(c_b(c_B(c_B(z0)))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c34(B'(b(b(b(b(b(b(B(B(B(B(B(B(z0))))))))))))), B'(b(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), B'(b(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), B'(b(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), B'(b(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), B'(b(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), B'(b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   B''(c_B(c_B(c_B(c_B(c_B(c_B(c_B(c_b(c_c(c_c(z0))))))))))) -> c34(B'(b(b(b(b(b(b(A(A(z0))))))))), B'(b(b(b(b(b(b(c_b(c_c(c_c(z0)))))))))), B'(b(b(b(b(b(c_b(c_c(c_c(z0))))))))), B'(b(b(b(b(c_b(c_c(c_c(z0)))))))), B'(b(b(b(c_b(c_c(c_c(z0))))))), B'(b(b(c_b(c_c(c_c(z0)))))), B'(b(c_b(c_c(c_c(z0))))), B'(c_b(c_c(c_c(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c_c(A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(c_A(A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(c_A(A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(c_A(A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(c_A(A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(x0)))))))))) -> c35(C'(c(A(A(A(A(c_A(A(x0)))))))), C'(A(A(A(A(A(A(x0))))))), A''(A(A(A(A(A(x0)))))), A''(A(A(A(A(x0))))), A''(A(A(A(x0)))), A''(A(A(x0))), A''(A(x0)), A''(x0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(z0)))))))))) -> c35(C'(c(A(A(A(A(A(c_A(z0)))))))), C'(A(A(A(A(A(A(z0))))))), A''(A(A(A(A(A(z0)))))), A''(A(A(A(A(z0))))), A''(A(A(A(z0)))), A''(A(A(z0))), A''(A(z0)), A''(z0))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(C(C(C(C(C(C(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))))), A''(A(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))))), A''(A(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))))), A''(A(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))), A''(A(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))), A''(A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))), A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_a(c_a(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(z0))))))), C'(A(A(A(A(A(A(c_A(c_a(c_a(z0)))))))))), A''(A(A(A(A(A(c_A(c_a(c_a(z0))))))))), A''(A(A(A(A(c_A(c_a(c_a(z0)))))))), A''(A(A(A(c_A(c_a(c_a(z0))))))), A''(A(A(c_A(c_a(c_a(z0)))))), A''(A(c_A(c_a(c_a(z0))))), A''(c_A(c_a(c_a(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_C(c_C(z0))))))))))))) -> c35(C'(c(A(A(A(A(A(b(b(z0))))))))), C'(A(A(A(A(A(A(c_A(c_C(c_C(z0)))))))))), A''(A(A(A(A(A(c_A(c_C(c_C(z0))))))))), A''(A(A(A(A(c_A(c_C(c_C(z0)))))))), A''(A(A(A(c_A(c_C(c_C(z0))))))), A''(A(A(c_A(c_C(c_C(z0)))))), A''(A(c_A(c_C(c_C(z0))))), A''(c_A(c_C(c_C(z0)))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(C(C(z0))))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))))
   B''(c_B(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_a(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))))))) -> c35(C'(c(A(A(A(A(A(a(a(a(a(a(a(a(a(z0))))))))))))))), C'(A(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))))), A''(A(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))))), A''(A(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))))), A''(A(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))))), A''(A(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))), A''(A(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0))))))))), A''(c_A(c_A(c_A(c_A(c_A(c_A(c_A(z0)))))))))
   B''(c_B(c_A(c_A(z0)))) -> c36(C'(c_c(z0)), C'(z0))
   B''(c_B(c_A(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0))))))))))))) -> c36(C'(C(C(C(C(C(C(z0))))))), C'(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))))
   B''(c_B(c_A(c_A(c_c(c_C(c_C(z0))))))) -> c36(C'(z0), C'(c_c(c_C(c_C(z0)))))
   B''(c_B(c_A(c_A(c_c(c_a(c_a(z0))))))) -> c36(C'(B(B(z0))), C'(c_c(c_a(c_a(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(c_b(C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(c_C(C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(c_C(C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(c_C(C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(c_C(C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(x0)))))))))) -> c38(B'(b(C(C(C(C(c_C(C(x0)))))))), B'(C(C(C(C(C(C(x0))))))), C''(C(C(C(C(C(x0)))))), C''(C(C(C(C(x0))))), C''(C(C(C(x0)))), C''(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(z0)))))))))) -> c38(B'(b(C(C(C(C(C(c_C(z0)))))))), B'(C(C(C(C(C(C(z0))))))), C''(C(C(C(C(C(z0)))))), C''(C(C(C(C(z0))))), C''(C(C(C(z0)))), C''(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_c(c_c(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(z0))))))), B'(C(C(C(C(C(C(c_C(c_c(c_c(z0)))))))))), C''(C(C(C(C(C(c_C(c_c(c_c(z0))))))))), C''(C(C(C(C(c_C(c_c(c_c(z0)))))))), C''(C(C(C(c_C(c_c(c_c(z0))))))), C''(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_B(c_B(z0))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(z0))))))))), B'(C(C(C(C(C(C(c_C(c_B(c_B(z0)))))))))), C''(C(C(C(C(C(c_C(c_B(c_B(z0))))))))), C''(C(C(C(C(c_C(c_B(c_B(z0)))))))), C''(C(C(C(c_C(c_B(c_B(z0))))))), C''(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))))) -> c38(B'(b(C(C(C(C(C(c(c(c(c(c(c(c(c(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), C''(C(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), C''(C(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), C''(C(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), C''(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_c(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))))) -> c38(B'(b(C(C(C(C(C(a(a(B(B(B(B(B(B(z0))))))))))))))), B'(C(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), C''(C(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), C''(C(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), C''(C(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), C''(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(z0)))) -> c40(B'(c_b(z0)), B'(z0))
   A''(c_A(c_C(c_C(c_b(c_B(c_B(z0))))))) -> c40(B'(z0), B'(c_b(c_B(c_B(z0)))))
   A''(c_A(c_C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))) -> c40(B'(B(B(B(B(B(B(z0))))))), B'(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
   A''(c_A(c_C(c_C(c_b(c_c(c_c(z0))))))) -> c40(B'(A(A(z0))), B'(c_b(c_c(c_c(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(c_a(a(a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(c_a(a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(c_a(a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(c_a(a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(c_a(a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(c_a(a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(a(c_a(C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(x0)))))))) -> c41(A'(a(a(a(a(a(a(a(c_C(C(x0)))))))))), A'(a(a(a(a(a(a(C(C(x0))))))))), A'(a(a(a(a(a(C(C(x0)))))))), A'(a(a(a(a(C(C(x0))))))), A'(a(a(a(C(C(x0)))))), A'(a(a(C(C(x0))))), A'(a(C(C(x0)))), A'(C(C(x0))), C''(C(x0)), C''(x0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(z0)))))))) -> c41(A'(a(a(a(a(a(a(a(C(c_C(z0)))))))))), A'(a(a(a(a(a(a(C(C(z0))))))))), A'(a(a(a(a(a(C(C(z0)))))))), A'(a(a(a(a(C(C(z0))))))), A'(a(a(a(C(C(z0)))))), A'(a(a(C(C(z0))))), A'(a(C(C(z0)))), A'(C(C(z0))), C''(C(z0)), C''(z0))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(B(B(z0))))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))))), A'(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))))), A'(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))))), A'(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))))), A'(a(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))))), A'(C(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_a(c_a(z0)))))))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_c(c_c(z0))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(z0))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_c(c_c(z0)))))))))))), A'(a(a(a(a(a(C(C(c_C(c_c(c_c(z0))))))))))), A'(a(a(a(a(C(C(c_C(c_c(c_c(z0)))))))))), A'(a(a(a(C(C(c_C(c_c(c_c(z0))))))))), A'(a(a(C(C(c_C(c_c(c_c(z0)))))))), A'(a(C(C(c_C(c_c(c_c(z0))))))), A'(C(C(c_C(c_c(c_c(z0)))))), C''(C(c_C(c_c(c_c(z0))))), C''(c_C(c_c(c_c(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_B(c_B(z0))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(a(a(z0))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_B(c_B(z0)))))))))))), A'(a(a(a(a(a(C(C(c_C(c_B(c_B(z0))))))))))), A'(a(a(a(a(C(C(c_C(c_B(c_B(z0)))))))))), A'(a(a(a(C(C(c_C(c_B(c_B(z0))))))))), A'(a(a(C(C(c_C(c_B(c_B(z0)))))))), A'(a(C(C(c_C(c_B(c_B(z0))))))), A'(C(C(c_C(c_B(c_B(z0)))))), C''(C(c_C(c_B(c_B(z0))))), C''(c_C(c_B(c_B(z0)))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(c(c(c(c(c(c(c(c(z0))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))))), A'(a(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))))), A'(a(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))))), A'(a(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))))), A'(a(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))))), A'(C(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))), C''(C(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0))))))))), C''(c_C(c_C(c_C(c_C(c_C(c_C(c_C(z0)))))))))
   A''(c_A(c_A(c_A(c_A(c_A(c_b(c_b(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))) -> c41(A'(a(a(a(a(a(a(a(C(a(a(B(B(B(B(B(B(z0))))))))))))))))), A'(a(a(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))))), A'(a(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))))), A'(a(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))))), A'(a(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))))), A'(a(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))))), A'(a(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))))), A'(C(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))), C''(C(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0))))))))))), C''(c_C(c_b(c_b(c_b(c_b(c_b(c_b(c_b(c_b(z0)))))))))))
K tuples:none
Defined Rule Symbols:   encArg_1, a_1, b_1, c_1, A_1, C_1, B_1

Defined Pair Symbols:   A'_1, B'_1, C'_1, C''_1, B''_1, A''_1, ENCODE_A_1, ENCODE_B_1, ENCODE_C_1, ENCODE_C'_1, ENCODE_A'_1, ENCODE_B'_1, ENCARG_1

Compound Symbols:   c14, c18, c23, c27, c32, c39, c42_8, c13_1, c1_2, c2_2, c3_2, c4_2, c5_2, c6_2, c15_2, c16_6, c19_6, c20_2, c22_6, c24_2, c26_10, c28_2, c29_8, c30_8, c33_10, c34_8, c35_8, c36_2, c38_8, c40_2, c41_10